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Finding the Fourth Proportional to 4,277.92, 6,419.04 and 3,347.68

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Solution

The fourth proportional to 4,277.92, 6,419.04 and 3,347.68 is: 5,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.92 : 6,419.04 = 3,347.68 : x
  2. Step 2: Convert to fraction form
    4,277.92/6,419.04 = 3,347.68/x
  3. Step 3: Cross multiply
    4,277.92x = 6,419.04 × 3,347.68
  4. Step 4: Simplify right side
    4,277.92x = 21,488,891.83
  5. Step 5: Solve for x
    x = 21,488,891.83/4,277.92
  6. Step 6: Final answer
    x = 5,023.21

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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.