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Finding the Fourth Proportional to 3,138.62, 4,330.13 and 2,192.74

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Solution

The fourth proportional to 3,138.62, 4,330.13 and 2,192.74 is: 3,025.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.62 : 4,330.13 = 2,192.74 : x
  2. Step 2: Convert to fraction form
    3,138.62/4,330.13 = 2,192.74/x
  3. Step 3: Cross multiply
    3,138.62x = 4,330.13 × 2,192.74
  4. Step 4: Simplify right side
    3,138.62x = 9,494,827.47
  5. Step 5: Solve for x
    x = 9,494,827.47/3,138.62
  6. Step 6: Final answer
    x = 3,025.16

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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.