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Finding the Fourth Proportional to 5,266.92, 7,901.76 and 3,077.16

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Solution

The fourth proportional to 5,266.92, 7,901.76 and 3,077.16 is: 4,616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.92 : 7,901.76 = 3,077.16 : x
  2. Step 2: Convert to fraction form
    5,266.92/7,901.76 = 3,077.16/x
  3. Step 3: Cross multiply
    5,266.92x = 7,901.76 × 3,077.16
  4. Step 4: Simplify right side
    5,266.92x = 24,314,979.80
  5. Step 5: Solve for x
    x = 24,314,979.80/5,266.92
  6. Step 6: Final answer
    x = 4,616.55

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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.