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Finding the Fourth Proportional to 3,970.34, 5,478.80 and 2,399.30

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Solution

The fourth proportional to 3,970.34, 5,478.80 and 2,399.30 is: 3,310.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.34 : 5,478.80 = 2,399.30 : x
  2. Step 2: Convert to fraction form
    3,970.34/5,478.80 = 2,399.30/x
  3. Step 3: Cross multiply
    3,970.34x = 5,478.80 × 2,399.30
  4. Step 4: Simplify right side
    3,970.34x = 13,145,284.84
  5. Step 5: Solve for x
    x = 13,145,284.84/3,970.34
  6. Step 6: Final answer
    x = 3,310.87

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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.