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Finding the Fourth Proportional to 3,877.76, 5,345.25 and 3,172.52

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Solution

The fourth proportional to 3,877.76, 5,345.25 and 3,172.52 is: 4,373.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.76 : 5,345.25 = 3,172.52 : x
  2. Step 2: Convert to fraction form
    3,877.76/5,345.25 = 3,172.52/x
  3. Step 3: Cross multiply
    3,877.76x = 5,345.25 × 3,172.52
  4. Step 4: Simplify right side
    3,877.76x = 16,957,912.53
  5. Step 5: Solve for x
    x = 16,957,912.53/3,877.76
  6. Step 6: Final answer
    x = 4,373.12

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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.