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Finding the Fourth Proportional to 6,310.64, 8,708.63 and 3,478.13

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Solution

The fourth proportional to 6,310.64, 8,708.63 and 3,478.13 is: 4,799.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.64 : 8,708.63 = 3,478.13 : x
  2. Step 2: Convert to fraction form
    6,310.64/8,708.63 = 3,478.13/x
  3. Step 3: Cross multiply
    6,310.64x = 8,708.63 × 3,478.13
  4. Step 4: Simplify right side
    6,310.64x = 30,289,686.33
  5. Step 5: Solve for x
    x = 30,289,686.33/6,310.64
  6. Step 6: Final answer
    x = 4,799.78

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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.