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Finding the Fourth Proportional to 3,665.41, 5,498.06 and 892.10

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Solution

The fourth proportional to 3,665.41, 5,498.06 and 892.10 is: 1,338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.41 : 5,498.06 = 892.10 : x
  2. Step 2: Convert to fraction form
    3,665.41/5,498.06 = 892.10/x
  3. Step 3: Cross multiply
    3,665.41x = 5,498.06 × 892.10
  4. Step 4: Simplify right side
    3,665.41x = 4,904,828.61
  5. Step 5: Solve for x
    x = 4,904,828.61/3,665.41
  6. Step 6: Final answer
    x = 1,338.14

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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.