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Finding the Fourth Proportional to 4,471.56, 6,707.16 and 2,280.24

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Solution

The fourth proportional to 4,471.56, 6,707.16 and 2,280.24 is: 3,420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.56 : 6,707.16 = 2,280.24 : x
  2. Step 2: Convert to fraction form
    4,471.56/6,707.16 = 2,280.24/x
  3. Step 3: Cross multiply
    4,471.56x = 6,707.16 × 2,280.24
  4. Step 4: Simplify right side
    4,471.56x = 15,293,934.52
  5. Step 5: Solve for x
    x = 15,293,934.52/4,471.56
  6. Step 6: Final answer
    x = 3,420.27

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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.