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Finding the Fourth Proportional to 4,361.42, 6,542.15 and 1,586.90

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Solution

The fourth proportional to 4,361.42, 6,542.15 and 1,586.90 is: 2,380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361.42 : 6,542.15 = 1,586.90 : x
  2. Step 2: Convert to fraction form
    4,361.42/6,542.15 = 1,586.90/x
  3. Step 3: Cross multiply
    4,361.42x = 6,542.15 × 1,586.90
  4. Step 4: Simplify right side
    4,361.42x = 10,381,697.19
  5. Step 5: Solve for x
    x = 10,381,697.19/4,361.42
  6. Step 6: Final answer
    x = 2,380.35

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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.