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Finding the Fourth Proportional to 6,439.32, 8,873.82 and 4,339.80

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Solution

The fourth proportional to 6,439.32, 8,873.82 and 4,339.80 is: 5,980.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.32 : 8,873.82 = 4,339.80 : x
  2. Step 2: Convert to fraction form
    6,439.32/8,873.82 = 4,339.80/x
  3. Step 3: Cross multiply
    6,439.32x = 8,873.82 × 4,339.80
  4. Step 4: Simplify right side
    6,439.32x = 38,510,604.04
  5. Step 5: Solve for x
    x = 38,510,604.04/6,439.32
  6. Step 6: Final answer
    x = 5,980.54

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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.