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Finding the Fourth Proportional to 3,829.53, 5,718.36 and 3,040.68

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Solution

The fourth proportional to 3,829.53, 5,718.36 and 3,040.68 is: 4,540.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.53 : 5,718.36 = 3,040.68 : x
  2. Step 2: Convert to fraction form
    3,829.53/5,718.36 = 3,040.68/x
  3. Step 3: Cross multiply
    3,829.53x = 5,718.36 × 3,040.68
  4. Step 4: Simplify right side
    3,829.53x = 17,387,702.88
  5. Step 5: Solve for x
    x = 17,387,702.88/3,829.53
  6. Step 6: Final answer
    x = 4,540.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.