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Finding the Fourth Proportional to 3,344.61, 5,017.36 and 1,152.75

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Solution

The fourth proportional to 3,344.61, 5,017.36 and 1,152.75 is: 1,729.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,344.61 : 5,017.36 = 1,152.75 : x
  2. Step 2: Convert to fraction form
    3,344.61/5,017.36 = 1,152.75/x
  3. Step 3: Cross multiply
    3,344.61x = 5,017.36 × 1,152.75
  4. Step 4: Simplify right side
    3,344.61x = 5,783,761.74
  5. Step 5: Solve for x
    x = 5,783,761.74/3,344.61
  6. Step 6: Final answer
    x = 1,729.28

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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.