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Finding the Fourth Proportional to 3,126.62, 4,691.64 and 1,047.26

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Solution

The fourth proportional to 3,126.62, 4,691.64 and 1,047.26 is: 1,571.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.62 : 4,691.64 = 1,047.26 : x
  2. Step 2: Convert to fraction form
    3,126.62/4,691.64 = 1,047.26/x
  3. Step 3: Cross multiply
    3,126.62x = 4,691.64 × 1,047.26
  4. Step 4: Simplify right side
    3,126.62x = 4,913,366.91
  5. Step 5: Solve for x
    x = 4,913,366.91/3,126.62
  6. Step 6: Final answer
    x = 1,571.46

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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.