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Finding the Fourth Proportional to 5,497.62, 7,586.37 and 3,139.80

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Solution

The fourth proportional to 5,497.62, 7,586.37 and 3,139.80 is: 4,332.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.62 : 7,586.37 = 3,139.80 : x
  2. Step 2: Convert to fraction form
    5,497.62/7,586.37 = 3,139.80/x
  3. Step 3: Cross multiply
    5,497.62x = 7,586.37 × 3,139.80
  4. Step 4: Simplify right side
    5,497.62x = 23,819,684.53
  5. Step 5: Solve for x
    x = 23,819,684.53/5,497.62
  6. Step 6: Final answer
    x = 4,332.73

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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.