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Finding the Fourth Proportional to 5,458.32, 7,542.99 and 4,129.65

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Solution

The fourth proportional to 5,458.32, 7,542.99 and 4,129.65 is: 5,706.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.32 : 7,542.99 = 4,129.65 : x
  2. Step 2: Convert to fraction form
    5,458.32/7,542.99 = 4,129.65/x
  3. Step 3: Cross multiply
    5,458.32x = 7,542.99 × 4,129.65
  4. Step 4: Simplify right side
    5,458.32x = 31,149,908.65
  5. Step 5: Solve for x
    x = 31,149,908.65/5,458.32
  6. Step 6: Final answer
    x = 5,706.87

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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.