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Finding the Fourth Proportional to 6,388.05, 8,815.68 and 3,869.63

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Solution

The fourth proportional to 6,388.05, 8,815.68 and 3,869.63 is: 5,340.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.05 : 8,815.68 = 3,869.63 : x
  2. Step 2: Convert to fraction form
    6,388.05/8,815.68 = 3,869.63/x
  3. Step 3: Cross multiply
    6,388.05x = 8,815.68 × 3,869.63
  4. Step 4: Simplify right side
    6,388.05x = 34,113,419.80
  5. Step 5: Solve for x
    x = 34,113,419.80/6,388.05
  6. Step 6: Final answer
    x = 5,340.19

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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.