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Finding the Fourth Proportional to 4,498.92, 6,748.38 and 2,419.90

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Solution

The fourth proportional to 4,498.92, 6,748.38 and 2,419.90 is: 3,629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.92 : 6,748.38 = 2,419.90 : x
  2. Step 2: Convert to fraction form
    4,498.92/6,748.38 = 2,419.90/x
  3. Step 3: Cross multiply
    4,498.92x = 6,748.38 × 2,419.90
  4. Step 4: Simplify right side
    4,498.92x = 16,330,404.76
  5. Step 5: Solve for x
    x = 16,330,404.76/4,498.92
  6. Step 6: Final answer
    x = 3,629.85

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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.