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Finding the Fourth Proportional to 5,336.60, 8,006.34 and 1,638.76

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Solution

The fourth proportional to 5,336.60, 8,006.34 and 1,638.76 is: 2,458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.60 : 8,006.34 = 1,638.76 : x
  2. Step 2: Convert to fraction form
    5,336.60/8,006.34 = 1,638.76/x
  3. Step 3: Cross multiply
    5,336.60x = 8,006.34 × 1,638.76
  4. Step 4: Simplify right side
    5,336.60x = 13,120,469.74
  5. Step 5: Solve for x
    x = 13,120,469.74/5,336.60
  6. Step 6: Final answer
    x = 2,458.58

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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.