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Finding the Fourth Proportional to 5,337.25, 8,006.90 and 1,638.82

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Solution

The fourth proportional to 5,337.25, 8,006.90 and 1,638.82 is: 2,458.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.25 : 8,006.90 = 1,638.82 : x
  2. Step 2: Convert to fraction form
    5,337.25/8,006.90 = 1,638.82/x
  3. Step 3: Cross multiply
    5,337.25x = 8,006.90 × 1,638.82
  4. Step 4: Simplify right side
    5,337.25x = 13,121,867.86
  5. Step 5: Solve for x
    x = 13,121,867.86/5,337.25
  6. Step 6: Final answer
    x = 2,458.54

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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.