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Finding the Fourth Proportional to 5,746.39, 8,614.78 and 5,285.14

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Solution

The fourth proportional to 5,746.39, 8,614.78 and 5,285.14 is: 7,923.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.39 : 8,614.78 = 5,285.14 : x
  2. Step 2: Convert to fraction form
    5,746.39/8,614.78 = 5,285.14/x
  3. Step 3: Cross multiply
    5,746.39x = 8,614.78 × 5,285.14
  4. Step 4: Simplify right side
    5,746.39x = 45,530,283.62
  5. Step 5: Solve for x
    x = 45,530,283.62/5,746.39
  6. Step 6: Final answer
    x = 7,923.29

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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.