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Finding the Fourth Proportional to 5,240.66, 7,862.34 and 1,543.02

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Solution

The fourth proportional to 5,240.66, 7,862.34 and 1,543.02 is: 2,314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.66 : 7,862.34 = 1,543.02 : x
  2. Step 2: Convert to fraction form
    5,240.66/7,862.34 = 1,543.02/x
  3. Step 3: Cross multiply
    5,240.66x = 7,862.34 × 1,543.02
  4. Step 4: Simplify right side
    5,240.66x = 12,131,747.87
  5. Step 5: Solve for x
    x = 12,131,747.87/5,240.66
  6. Step 6: Final answer
    x = 2,314.93

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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.