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Finding the Fourth Proportional to 5,588.28, 7,710.98 and 3,197.87

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Solution

The fourth proportional to 5,588.28, 7,710.98 and 3,197.87 is: 4,412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588.28 : 7,710.98 = 3,197.87 : x
  2. Step 2: Convert to fraction form
    5,588.28/7,710.98 = 3,197.87/x
  3. Step 3: Cross multiply
    5,588.28x = 7,710.98 × 3,197.87
  4. Step 4: Simplify right side
    5,588.28x = 24,658,711.61
  5. Step 5: Solve for x
    x = 24,658,711.61/5,588.28
  6. Step 6: Final answer
    x = 4,412.58

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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.