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Finding the Fourth Proportional to 5,332.60, 8,000.34 and 1,634.75

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Solution

The fourth proportional to 5,332.60, 8,000.34 and 1,634.75 is: 2,452.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,332.60 : 8,000.34 = 1,634.75 : x
  2. Step 2: Convert to fraction form
    5,332.60/8,000.34 = 1,634.75/x
  3. Step 3: Cross multiply
    5,332.60x = 8,000.34 × 1,634.75
  4. Step 4: Simplify right side
    5,332.60x = 13,078,539.68
  5. Step 5: Solve for x
    x = 13,078,539.68/5,332.60
  6. Step 6: Final answer
    x = 2,452.56

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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.