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Finding the Fourth Proportional to 4,321.17, 6,473.92 and 1,983.13

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Solution

The fourth proportional to 4,321.17, 6,473.92 and 1,983.13 is: 2,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.17 : 6,473.92 = 1,983.13 : x
  2. Step 2: Convert to fraction form
    4,321.17/6,473.92 = 1,983.13/x
  3. Step 3: Cross multiply
    4,321.17x = 6,473.92 × 1,983.13
  4. Step 4: Simplify right side
    4,321.17x = 12,838,624.97
  5. Step 5: Solve for x
    x = 12,838,624.97/4,321.17
  6. Step 6: Final answer
    x = 2,971.10

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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.