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Finding the Fourth Proportional to 5,242.46, 7,862.48 and 2,471.06

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Solution

The fourth proportional to 5,242.46, 7,862.48 and 2,471.06 is: 3,706.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.46 : 7,862.48 = 2,471.06 : x
  2. Step 2: Convert to fraction form
    5,242.46/7,862.48 = 2,471.06/x
  3. Step 3: Cross multiply
    5,242.46x = 7,862.48 × 2,471.06
  4. Step 4: Simplify right side
    5,242.46x = 19,428,659.83
  5. Step 5: Solve for x
    x = 19,428,659.83/5,242.46
  6. Step 6: Final answer
    x = 3,706.02

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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.