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Finding the Fourth Proportional to 5,892.74, 8,841.46 and 2,429.18

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Solution

The fourth proportional to 5,892.74, 8,841.46 and 2,429.18 is: 3,644.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.74 : 8,841.46 = 2,429.18 : x
  2. Step 2: Convert to fraction form
    5,892.74/8,841.46 = 2,429.18/x
  3. Step 3: Cross multiply
    5,892.74x = 8,841.46 × 2,429.18
  4. Step 4: Simplify right side
    5,892.74x = 21,477,497.80
  5. Step 5: Solve for x
    x = 21,477,497.80/5,892.74
  6. Step 6: Final answer
    x = 3,644.74

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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.