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Finding the Fourth Proportional to 5,116.74, 7,675.28 and 1,419

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Solution

The fourth proportional to 5,116.74, 7,675.28 and 1,419 is: 2,128.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.74 : 7,675.28 = 1,419 : x
  2. Step 2: Convert to fraction form
    5,116.74/7,675.28 = 1,419/x
  3. Step 3: Cross multiply
    5,116.74x = 7,675.28 × 1,419
  4. Step 4: Simplify right side
    5,116.74x = 10,891,222.32
  5. Step 5: Solve for x
    x = 10,891,222.32/5,116.74
  6. Step 6: Final answer
    x = 2,128.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.