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Finding the Fourth Proportional to 4,691.04, 6,472.98 and 3,985.74

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Solution

The fourth proportional to 4,691.04, 6,472.98 and 3,985.74 is: 5,499.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.04 : 6,472.98 = 3,985.74 : x
  2. Step 2: Convert to fraction form
    4,691.04/6,472.98 = 3,985.74/x
  3. Step 3: Cross multiply
    4,691.04x = 6,472.98 × 3,985.74
  4. Step 4: Simplify right side
    4,691.04x = 25,799,615.31
  5. Step 5: Solve for x
    x = 25,799,615.31/4,691.04
  6. Step 6: Final answer
    x = 5,499.76

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