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Finding the Fourth Proportional to 5,242.88, 7,862.46 and 2,323.24

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Solution

The fourth proportional to 5,242.88, 7,862.46 and 2,323.24 is: 3,484.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.88 : 7,862.46 = 2,323.24 : x
  2. Step 2: Convert to fraction form
    5,242.88/7,862.46 = 2,323.24/x
  3. Step 3: Cross multiply
    5,242.88x = 7,862.46 × 2,323.24
  4. Step 4: Simplify right side
    5,242.88x = 18,266,381.57
  5. Step 5: Solve for x
    x = 18,266,381.57/5,242.88
  6. Step 6: Final answer
    x = 3,484.04

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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.