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Finding the Fourth Proportional to 5,304.56, 7,319.04 and 3,709.22

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Solution

The fourth proportional to 5,304.56, 7,319.04 and 3,709.22 is: 5,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.56 : 7,319.04 = 3,709.22 : x
  2. Step 2: Convert to fraction form
    5,304.56/7,319.04 = 3,709.22/x
  3. Step 3: Cross multiply
    5,304.56x = 7,319.04 × 3,709.22
  4. Step 4: Simplify right side
    5,304.56x = 27,147,929.55
  5. Step 5: Solve for x
    x = 27,147,929.55/5,304.56
  6. Step 6: Final answer
    x = 5,117.85

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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.