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Finding the Fourth Proportional to 3,591.42, 5,387.94 and 1,126.23

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Solution

The fourth proportional to 3,591.42, 5,387.94 and 1,126.23 is: 1,689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.42 : 5,387.94 = 1,126.23 : x
  2. Step 2: Convert to fraction form
    3,591.42/5,387.94 = 1,126.23/x
  3. Step 3: Cross multiply
    3,591.42x = 5,387.94 × 1,126.23
  4. Step 4: Simplify right side
    3,591.42x = 6,068,059.67
  5. Step 5: Solve for x
    x = 6,068,059.67/3,591.42
  6. Step 6: Final answer
    x = 1,689.60

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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.