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Finding the Fourth Proportional to 3,671.47, 5,062.91 and 3,142.11

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Solution

The fourth proportional to 3,671.47, 5,062.91 and 3,142.11 is: 4,332.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.47 : 5,062.91 = 3,142.11 : x
  2. Step 2: Convert to fraction form
    3,671.47/5,062.91 = 3,142.11/x
  3. Step 3: Cross multiply
    3,671.47x = 5,062.91 × 3,142.11
  4. Step 4: Simplify right side
    3,671.47x = 15,908,235.20
  5. Step 5: Solve for x
    x = 15,908,235.20/3,671.47
  6. Step 6: Final answer
    x = 4,332.93

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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.