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Finding the Fourth Proportional to 6,132.57, 8,463.59 and 3,774.66

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Solution

The fourth proportional to 6,132.57, 8,463.59 and 3,774.66 is: 5,209.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.57 : 8,463.59 = 3,774.66 : x
  2. Step 2: Convert to fraction form
    6,132.57/8,463.59 = 3,774.66/x
  3. Step 3: Cross multiply
    6,132.57x = 8,463.59 × 3,774.66
  4. Step 4: Simplify right side
    6,132.57x = 31,947,174.63
  5. Step 5: Solve for x
    x = 31,947,174.63/6,132.57
  6. Step 6: Final answer
    x = 5,209.43

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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.