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Finding the Fourth Proportional to 3,281.76, 4,532.04 and 2,383.92

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Solution

The fourth proportional to 3,281.76, 4,532.04 and 2,383.92 is: 3,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.76 : 4,532.04 = 2,383.92 : x
  2. Step 2: Convert to fraction form
    3,281.76/4,532.04 = 2,383.92/x
  3. Step 3: Cross multiply
    3,281.76x = 4,532.04 × 2,383.92
  4. Step 4: Simplify right side
    3,281.76x = 10,804,020.80
  5. Step 5: Solve for x
    x = 10,804,020.80/3,281.76
  6. Step 6: Final answer
    x = 3,292.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.