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Finding the Fourth Proportional to 5,285.84, 7,291.15 and 3,399.88

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Solution

The fourth proportional to 5,285.84, 7,291.15 and 3,399.88 is: 4,689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.84 : 7,291.15 = 3,399.88 : x
  2. Step 2: Convert to fraction form
    5,285.84/7,291.15 = 3,399.88/x
  3. Step 3: Cross multiply
    5,285.84x = 7,291.15 × 3,399.88
  4. Step 4: Simplify right side
    5,285.84x = 24,789,035.06
  5. Step 5: Solve for x
    x = 24,789,035.06/5,285.84
  6. Step 6: Final answer
    x = 4,689.71

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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.