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Finding the Fourth Proportional to 3,642.76, 5,460.35 and 2,472.86

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Solution

The fourth proportional to 3,642.76, 5,460.35 and 2,472.86 is: 3,706.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.76 : 5,460.35 = 2,472.86 : x
  2. Step 2: Convert to fraction form
    3,642.76/5,460.35 = 2,472.86/x
  3. Step 3: Cross multiply
    3,642.76x = 5,460.35 × 2,472.86
  4. Step 4: Simplify right side
    3,642.76x = 13,502,681.10
  5. Step 5: Solve for x
    x = 13,502,681.10/3,642.76
  6. Step 6: Final answer
    x = 3,706.72

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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.