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Finding the Fourth Proportional to 3,117.65, 4,682.96 and 2,472.89

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Solution

The fourth proportional to 3,117.65, 4,682.96 and 2,472.89 is: 3,714.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.65 : 4,682.96 = 2,472.89 : x
  2. Step 2: Convert to fraction form
    3,117.65/4,682.96 = 2,472.89/x
  3. Step 3: Cross multiply
    3,117.65x = 4,682.96 × 2,472.89
  4. Step 4: Simplify right side
    3,117.65x = 11,580,432.59
  5. Step 5: Solve for x
    x = 11,580,432.59/3,117.65
  6. Step 6: Final answer
    x = 3,714.47

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