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Finding the Fourth Proportional to 5,894.43, 8,836.68 and 2,560.17

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Solution

The fourth proportional to 5,894.43, 8,836.68 and 2,560.17 is: 3,838.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.43 : 8,836.68 = 2,560.17 : x
  2. Step 2: Convert to fraction form
    5,894.43/8,836.68 = 2,560.17/x
  3. Step 3: Cross multiply
    5,894.43x = 8,836.68 × 2,560.17
  4. Step 4: Simplify right side
    5,894.43x = 22,623,403.04
  5. Step 5: Solve for x
    x = 22,623,403.04/5,894.43
  6. Step 6: Final answer
    x = 3,838.10

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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.