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Finding the Fourth Proportional to 4,597, 6,343.72 and 2,501.12

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Solution

The fourth proportional to 4,597, 6,343.72 and 2,501.12 is: 3,451.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597 : 6,343.72 = 2,501.12 : x
  2. Step 2: Convert to fraction form
    4,597/6,343.72 = 2,501.12/x
  3. Step 3: Cross multiply
    4,597x = 6,343.72 × 2,501.12
  4. Step 4: Simplify right side
    4,597x = 15,866,404.97
  5. Step 5: Solve for x
    x = 15,866,404.97/4,597
  6. Step 6: Final answer
    x = 3,451.47

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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.