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Finding the Fourth Proportional to 4,691.74, 6,474.61 and 2,567.47

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Solution

The fourth proportional to 4,691.74, 6,474.61 and 2,567.47 is: 3,543.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.74 : 6,474.61 = 2,567.47 : x
  2. Step 2: Convert to fraction form
    4,691.74/6,474.61 = 2,567.47/x
  3. Step 3: Cross multiply
    4,691.74x = 6,474.61 × 2,567.47
  4. Step 4: Simplify right side
    4,691.74x = 16,623,360.52
  5. Step 5: Solve for x
    x = 16,623,360.52/4,691.74
  6. Step 6: Final answer
    x = 3,543.11

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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.