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Finding the Fourth Proportional to 5,041.80, 6,958.36 and 3,472

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Solution

The fourth proportional to 5,041.80, 6,958.36 and 3,472 is: 4,791.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041.80 : 6,958.36 = 3,472 : x
  2. Step 2: Convert to fraction form
    5,041.80/6,958.36 = 3,472/x
  3. Step 3: Cross multiply
    5,041.80x = 6,958.36 × 3,472
  4. Step 4: Simplify right side
    5,041.80x = 24,159,425.92
  5. Step 5: Solve for x
    x = 24,159,425.92/5,041.80
  6. Step 6: Final answer
    x = 4,791.83

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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.