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Finding the Fourth Proportional to 5,306.34, 7,329.34 and 3,741.42

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Solution

The fourth proportional to 5,306.34, 7,329.34 and 3,741.42 is: 5,167.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.34 : 7,329.34 = 3,741.42 : x
  2. Step 2: Convert to fraction form
    5,306.34/7,329.34 = 3,741.42/x
  3. Step 3: Cross multiply
    5,306.34x = 7,329.34 × 3,741.42
  4. Step 4: Simplify right side
    5,306.34x = 27,422,139.26
  5. Step 5: Solve for x
    x = 27,422,139.26/5,306.34
  6. Step 6: Final answer
    x = 5,167.81

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Why These Related Problems?

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