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Finding the Fourth Proportional to 4,757.42, 7,132.26 and 1,986.18

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Solution

The fourth proportional to 4,757.42, 7,132.26 and 1,986.18 is: 2,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.42 : 7,132.26 = 1,986.18 : x
  2. Step 2: Convert to fraction form
    4,757.42/7,132.26 = 1,986.18/x
  3. Step 3: Cross multiply
    4,757.42x = 7,132.26 × 1,986.18
  4. Step 4: Simplify right side
    4,757.42x = 14,165,952.17
  5. Step 5: Solve for x
    x = 14,165,952.17/4,757.42
  6. Step 6: Final answer
    x = 2,977.65

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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.