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Finding the Fourth Proportional to 5,906.40, 8,860.05 and 1,523.85

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Solution

The fourth proportional to 5,906.40, 8,860.05 and 1,523.85 is: 2,285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.40 : 8,860.05 = 1,523.85 : x
  2. Step 2: Convert to fraction form
    5,906.40/8,860.05 = 1,523.85/x
  3. Step 3: Cross multiply
    5,906.40x = 8,860.05 × 1,523.85
  4. Step 4: Simplify right side
    5,906.40x = 13,501,387.19
  5. Step 5: Solve for x
    x = 13,501,387.19/5,906.40
  6. Step 6: Final answer
    x = 2,285.89

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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.