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Finding the Fourth Proportional to 4,306.34, 5,943.03 and 2,538.11

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Solution

The fourth proportional to 4,306.34, 5,943.03 and 2,538.11 is: 3,502.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.34 : 5,943.03 = 2,538.11 : x
  2. Step 2: Convert to fraction form
    4,306.34/5,943.03 = 2,538.11/x
  3. Step 3: Cross multiply
    4,306.34x = 5,943.03 × 2,538.11
  4. Step 4: Simplify right side
    4,306.34x = 15,084,063.87
  5. Step 5: Solve for x
    x = 15,084,063.87/4,306.34
  6. Step 6: Final answer
    x = 3,502.76

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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.