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Finding the Fourth Proportional to 4,462.32, 6,703.88 and 3,839.54

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Solution

The fourth proportional to 4,462.32, 6,703.88 and 3,839.54 is: 5,768.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.32 : 6,703.88 = 3,839.54 : x
  2. Step 2: Convert to fraction form
    4,462.32/6,703.88 = 3,839.54/x
  3. Step 3: Cross multiply
    4,462.32x = 6,703.88 × 3,839.54
  4. Step 4: Simplify right side
    4,462.32x = 25,739,815.42
  5. Step 5: Solve for x
    x = 25,739,815.42/4,462.32
  6. Step 6: Final answer
    x = 5,768.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.