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Finding the Fourth Proportional to 4,498.14, 6,748.42 and 1,576.68

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Solution

The fourth proportional to 4,498.14, 6,748.42 and 1,576.68 is: 2,365.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.14 : 6,748.42 = 1,576.68 : x
  2. Step 2: Convert to fraction form
    4,498.14/6,748.42 = 1,576.68/x
  3. Step 3: Cross multiply
    4,498.14x = 6,748.42 × 1,576.68
  4. Step 4: Simplify right side
    4,498.14x = 10,640,098.85
  5. Step 5: Solve for x
    x = 10,640,098.85/4,498.14
  6. Step 6: Final answer
    x = 2,365.44

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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.