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Finding the Fourth Proportional to 5,240.94, 7,862.77 and 1,543.04

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Solution

The fourth proportional to 5,240.94, 7,862.77 and 1,543.04 is: 2,314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.94 : 7,862.77 = 1,543.04 : x
  2. Step 2: Convert to fraction form
    5,240.94/7,862.77 = 1,543.04/x
  3. Step 3: Cross multiply
    5,240.94x = 7,862.77 × 1,543.04
  4. Step 4: Simplify right side
    5,240.94x = 12,132,596.27
  5. Step 5: Solve for x
    x = 12,132,596.27/5,240.94
  6. Step 6: Final answer
    x = 2,314.97

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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.