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Finding the Fourth Proportional to 6,402.60, 8,832.45 and 4,278.65

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Solution

The fourth proportional to 6,402.60, 8,832.45 and 4,278.65 is: 5,902.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.60 : 8,832.45 = 4,278.65 : x
  2. Step 2: Convert to fraction form
    6,402.60/8,832.45 = 4,278.65/x
  3. Step 3: Cross multiply
    6,402.60x = 8,832.45 × 4,278.65
  4. Step 4: Simplify right side
    6,402.60x = 37,790,940.80
  5. Step 5: Solve for x
    x = 37,790,940.80/6,402.60
  6. Step 6: Final answer
    x = 5,902.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.