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Finding the Fourth Proportional to 3,479.64, 4,801.32 and 2,082.39

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Solution

The fourth proportional to 3,479.64, 4,801.32 and 2,082.39 is: 2,873.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,479.64 : 4,801.32 = 2,082.39 : x
  2. Step 2: Convert to fraction form
    3,479.64/4,801.32 = 2,082.39/x
  3. Step 3: Cross multiply
    3,479.64x = 4,801.32 × 2,082.39
  4. Step 4: Simplify right side
    3,479.64x = 9,998,220.75
  5. Step 5: Solve for x
    x = 9,998,220.75/3,479.64
  6. Step 6: Final answer
    x = 2,873.35

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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.