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Finding the Fourth Proportional to 4,221.92, 6,323.40 and 2,032.16

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Solution

The fourth proportional to 4,221.92, 6,323.40 and 2,032.16 is: 3,043.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.92 : 6,323.40 = 2,032.16 : x
  2. Step 2: Convert to fraction form
    4,221.92/6,323.40 = 2,032.16/x
  3. Step 3: Cross multiply
    4,221.92x = 6,323.40 × 2,032.16
  4. Step 4: Simplify right side
    4,221.92x = 12,850,160.54
  5. Step 5: Solve for x
    x = 12,850,160.54/4,221.92
  6. Step 6: Final answer
    x = 3,043.68

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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.