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Finding the Fourth Proportional to 5,241.87, 7,862.84 and 1,544.15

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Solution

The fourth proportional to 5,241.87, 7,862.84 and 1,544.15 is: 2,316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.87 : 7,862.84 = 1,544.15 : x
  2. Step 2: Convert to fraction form
    5,241.87/7,862.84 = 1,544.15/x
  3. Step 3: Cross multiply
    5,241.87x = 7,862.84 × 1,544.15
  4. Step 4: Simplify right side
    5,241.87x = 12,141,357.35
  5. Step 5: Solve for x
    x = 12,141,357.35/5,241.87
  6. Step 6: Final answer
    x = 2,316.23

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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.