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Finding the Fourth Proportional to 3,428.62, 5,141 and 1,088.18

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Solution

The fourth proportional to 3,428.62, 5,141 and 1,088.18 is: 1,631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.62 : 5,141 = 1,088.18 : x
  2. Step 2: Convert to fraction form
    3,428.62/5,141 = 1,088.18/x
  3. Step 3: Cross multiply
    3,428.62x = 5,141 × 1,088.18
  4. Step 4: Simplify right side
    3,428.62x = 5,594,333.38
  5. Step 5: Solve for x
    x = 5,594,333.38/3,428.62
  6. Step 6: Final answer
    x = 1,631.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.