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Finding the Fourth Proportional to 5,458.70, 8,171.85 and 5,458.70

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Solution

The fourth proportional to 5,458.70, 8,171.85 and 5,458.70 is: 8,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.70 : 8,171.85 = 5,458.70 : x
  2. Step 2: Convert to fraction form
    5,458.70/8,171.85 = 5,458.70/x
  3. Step 3: Cross multiply
    5,458.70x = 8,171.85 × 5,458.70
  4. Step 4: Simplify right side
    5,458.70x = 44,607,677.60
  5. Step 5: Solve for x
    x = 44,607,677.60/5,458.70
  6. Step 6: Final answer
    x = 8,171.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.