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Finding the Fourth Proportional to 5,788,454.38, 7,987,793.40 and 3,210,079.78

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Solution

The fourth proportional to 5,788,454.38, 7,987,793.40 and 3,210,079.78 is: 4,429,758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788,454.38 : 7,987,793.40 = 3,210,079.78 : x
  2. Step 2: Convert to fraction form
    5,788,454.38/7,987,793.40 = 3,210,079.78/x
  3. Step 3: Cross multiply
    5,788,454.38x = 7,987,793.40 × 3,210,079.78
  4. Step 4: Simplify right side
    5,788,454.38x = 25,641,454,080,157.45
  5. Step 5: Solve for x
    x = 25,641,454,080,157.45/5,788,454.38
  6. Step 6: Final answer
    x = 4,429,758.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.