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Finding the Fourth Proportional to 5,285.57, 7,288.29 and 5,232.29

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Solution

The fourth proportional to 5,285.57, 7,288.29 and 5,232.29 is: 7,214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.57 : 7,288.29 = 5,232.29 : x
  2. Step 2: Convert to fraction form
    5,285.57/7,288.29 = 5,232.29/x
  3. Step 3: Cross multiply
    5,285.57x = 7,288.29 × 5,232.29
  4. Step 4: Simplify right side
    5,285.57x = 38,134,410.44
  5. Step 5: Solve for x
    x = 38,134,410.44/5,285.57
  6. Step 6: Final answer
    x = 7,214.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.