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Finding the Fourth Proportional to 6,948.60, 10,422.90 and 3,485.04

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Solution

The fourth proportional to 6,948.60, 10,422.90 and 3,485.04 is: 5,227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.60 : 10,422.90 = 3,485.04 : x
  2. Step 2: Convert to fraction form
    6,948.60/10,422.90 = 3,485.04/x
  3. Step 3: Cross multiply
    6,948.60x = 10,422.90 × 3,485.04
  4. Step 4: Simplify right side
    6,948.60x = 36,324,223.42
  5. Step 5: Solve for x
    x = 36,324,223.42/6,948.60
  6. Step 6: Final answer
    x = 5,227.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.