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Finding the Fourth Proportional to 4,966.92, 7,444.98 and 3,868.02

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Solution

The fourth proportional to 4,966.92, 7,444.98 and 3,868.02 is: 5,797.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.92 : 7,444.98 = 3,868.02 : x
  2. Step 2: Convert to fraction form
    4,966.92/7,444.98 = 3,868.02/x
  3. Step 3: Cross multiply
    4,966.92x = 7,444.98 × 3,868.02
  4. Step 4: Simplify right side
    4,966.92x = 28,797,331.54
  5. Step 5: Solve for x
    x = 28,797,331.54/4,966.92
  6. Step 6: Final answer
    x = 5,797.82

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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.