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Finding the Fourth Proportional to 5,644.38, 7,790.87 and 3,405.88

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Solution

The fourth proportional to 5,644.38, 7,790.87 and 3,405.88 is: 4,701.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.38 : 7,790.87 = 3,405.88 : x
  2. Step 2: Convert to fraction form
    5,644.38/7,790.87 = 3,405.88/x
  3. Step 3: Cross multiply
    5,644.38x = 7,790.87 × 3,405.88
  4. Step 4: Simplify right side
    5,644.38x = 26,534,712.33
  5. Step 5: Solve for x
    x = 26,534,712.33/5,644.38
  6. Step 6: Final answer
    x = 4,701.09

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1.5x scale

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.