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Finding the Fourth Proportional to 3,143.62, 4,677.23 and 3,132.85

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Solution

The fourth proportional to 3,143.62, 4,677.23 and 3,132.85 is: 4,661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.62 : 4,677.23 = 3,132.85 : x
  2. Step 2: Convert to fraction form
    3,143.62/4,677.23 = 3,132.85/x
  3. Step 3: Cross multiply
    3,143.62x = 4,677.23 × 3,132.85
  4. Step 4: Simplify right side
    3,143.62x = 14,653,060.01
  5. Step 5: Solve for x
    x = 14,653,060.01/3,143.62
  6. Step 6: Final answer
    x = 4,661.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.