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Finding the Fourth Proportional to 5,241.41, 7,862.14 and 1,543.68

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Solution

The fourth proportional to 5,241.41, 7,862.14 and 1,543.68 is: 2,315.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.41 : 7,862.14 = 1,543.68 : x
  2. Step 2: Convert to fraction form
    5,241.41/7,862.14 = 1,543.68/x
  3. Step 3: Cross multiply
    5,241.41x = 7,862.14 × 1,543.68
  4. Step 4: Simplify right side
    5,241.41x = 12,136,632.31
  5. Step 5: Solve for x
    x = 12,136,632.31/5,241.41
  6. Step 6: Final answer
    x = 2,315.53

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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.