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Finding the Fourth Proportional to 3,344.36, 5,017.21 and 1,153.17

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Solution

The fourth proportional to 3,344.36, 5,017.21 and 1,153.17 is: 1,729.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,344.36 : 5,017.21 = 1,153.17 : x
  2. Step 2: Convert to fraction form
    3,344.36/5,017.21 = 1,153.17/x
  3. Step 3: Cross multiply
    3,344.36x = 5,017.21 × 1,153.17
  4. Step 4: Simplify right side
    3,344.36x = 5,785,693.17
  5. Step 5: Solve for x
    x = 5,785,693.17/3,344.36
  6. Step 6: Final answer
    x = 1,729.99

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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.