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Finding the Fourth Proportional to 5,497.73, 7,586.84 and 3,139.73

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Solution

The fourth proportional to 5,497.73, 7,586.84 and 3,139.73 is: 4,332.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.73 : 7,586.84 = 3,139.73 : x
  2. Step 2: Convert to fraction form
    5,497.73/7,586.84 = 3,139.73/x
  3. Step 3: Cross multiply
    5,497.73x = 7,586.84 × 3,139.73
  4. Step 4: Simplify right side
    5,497.73x = 23,820,613.45
  5. Step 5: Solve for x
    x = 23,820,613.45/5,497.73
  6. Step 6: Final answer
    x = 4,332.81

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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.