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Finding the Fourth Proportional to 4,361.57, 6,542.35 and 1,241.90

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Solution

The fourth proportional to 4,361.57, 6,542.35 and 1,241.90 is: 1,862.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361.57 : 6,542.35 = 1,241.90 : x
  2. Step 2: Convert to fraction form
    4,361.57/6,542.35 = 1,241.90/x
  3. Step 3: Cross multiply
    4,361.57x = 6,542.35 × 1,241.90
  4. Step 4: Simplify right side
    4,361.57x = 8,124,908.65
  5. Step 5: Solve for x
    x = 8,124,908.65/4,361.57
  6. Step 6: Final answer
    x = 1,862.84

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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.