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Finding the Fourth Proportional to 3,174.29, 4,381.03 and 3,034.13

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Solution

The fourth proportional to 3,174.29, 4,381.03 and 3,034.13 is: 4,187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.29 : 4,381.03 = 3,034.13 : x
  2. Step 2: Convert to fraction form
    3,174.29/4,381.03 = 3,034.13/x
  3. Step 3: Cross multiply
    3,174.29x = 4,381.03 × 3,034.13
  4. Step 4: Simplify right side
    3,174.29x = 13,292,614.55
  5. Step 5: Solve for x
    x = 13,292,614.55/3,174.29
  6. Step 6: Final answer
    x = 4,187.59

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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.