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Finding the Fourth Proportional to 5,334.53, 7,365.38 and 3,842.91

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Solution

The fourth proportional to 5,334.53, 7,365.38 and 3,842.91 is: 5,305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,334.53 : 7,365.38 = 3,842.91 : x
  2. Step 2: Convert to fraction form
    5,334.53/7,365.38 = 3,842.91/x
  3. Step 3: Cross multiply
    5,334.53x = 7,365.38 × 3,842.91
  4. Step 4: Simplify right side
    5,334.53x = 28,304,473.24
  5. Step 5: Solve for x
    x = 28,304,473.24/5,334.53
  6. Step 6: Final answer
    x = 5,305.90

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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.