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Finding the Fourth Proportional to 4,146.33, 5,721.33 and 2,353.53

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Solution

The fourth proportional to 4,146.33, 5,721.33 and 2,353.53 is: 3,247.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.33 : 5,721.33 = 2,353.53 : x
  2. Step 2: Convert to fraction form
    4,146.33/5,721.33 = 2,353.53/x
  3. Step 3: Cross multiply
    4,146.33x = 5,721.33 × 2,353.53
  4. Step 4: Simplify right side
    4,146.33x = 13,465,321.79
  5. Step 5: Solve for x
    x = 13,465,321.79/4,146.33
  6. Step 6: Final answer
    x = 3,247.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.