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Finding the Fourth Proportional to 4,713.24, 7,061.76 and 3,247.16

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Solution

The fourth proportional to 4,713.24, 7,061.76 and 3,247.16 is: 4,865.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.24 : 7,061.76 = 3,247.16 : x
  2. Step 2: Convert to fraction form
    4,713.24/7,061.76 = 3,247.16/x
  3. Step 3: Cross multiply
    4,713.24x = 7,061.76 × 3,247.16
  4. Step 4: Simplify right side
    4,713.24x = 22,930,664.60
  5. Step 5: Solve for x
    x = 22,930,664.60/4,713.24
  6. Step 6: Final answer
    x = 4,865.16

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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.