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Finding the Fourth Proportional to 5,458.68, 7,532.42 and 3,099.96

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Solution

The fourth proportional to 5,458.68, 7,532.42 and 3,099.96 is: 4,277.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.68 : 7,532.42 = 3,099.96 : x
  2. Step 2: Convert to fraction form
    5,458.68/7,532.42 = 3,099.96/x
  3. Step 3: Cross multiply
    5,458.68x = 7,532.42 × 3,099.96
  4. Step 4: Simplify right side
    5,458.68x = 23,350,200.70
  5. Step 5: Solve for x
    x = 23,350,200.70/5,458.68
  6. Step 6: Final answer
    x = 4,277.63

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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.