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Finding the Fourth Proportional to 3,508.96, 5,261.28 and 2,414.68

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Solution

The fourth proportional to 3,508.96, 5,261.28 and 2,414.68 is: 3,620.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.96 : 5,261.28 = 2,414.68 : x
  2. Step 2: Convert to fraction form
    3,508.96/5,261.28 = 2,414.68/x
  3. Step 3: Cross multiply
    3,508.96x = 5,261.28 × 2,414.68
  4. Step 4: Simplify right side
    3,508.96x = 12,704,307.59
  5. Step 5: Solve for x
    x = 12,704,307.59/3,508.96
  6. Step 6: Final answer
    x = 3,620.53

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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.