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Finding the Fourth Proportional to 5,347.80, 7,375.20 and 3,358.54

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Solution

The fourth proportional to 5,347.80, 7,375.20 and 3,358.54 is: 4,631.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.80 : 7,375.20 = 3,358.54 : x
  2. Step 2: Convert to fraction form
    5,347.80/7,375.20 = 3,358.54/x
  3. Step 3: Cross multiply
    5,347.80x = 7,375.20 × 3,358.54
  4. Step 4: Simplify right side
    5,347.80x = 24,769,904.21
  5. Step 5: Solve for x
    x = 24,769,904.21/5,347.80
  6. Step 6: Final answer
    x = 4,631.79

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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.