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Finding the Fourth Proportional to 4,069.68, 5,614.92 and 2,497.20

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Solution

The fourth proportional to 4,069.68, 5,614.92 and 2,497.20 is: 3,445.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069.68 : 5,614.92 = 2,497.20 : x
  2. Step 2: Convert to fraction form
    4,069.68/5,614.92 = 2,497.20/x
  3. Step 3: Cross multiply
    4,069.68x = 5,614.92 × 2,497.20
  4. Step 4: Simplify right side
    4,069.68x = 14,021,578.22
  5. Step 5: Solve for x
    x = 14,021,578.22/4,069.68
  6. Step 6: Final answer
    x = 3,445.38

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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.