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Finding the Fourth Proportional to 7,291.60, 10,942.80 and 2,912.20

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Solution

The fourth proportional to 7,291.60, 10,942.80 and 2,912.20 is: 4,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.60 : 10,942.80 = 2,912.20 : x
  2. Step 2: Convert to fraction form
    7,291.60/10,942.80 = 2,912.20/x
  3. Step 3: Cross multiply
    7,291.60x = 10,942.80 × 2,912.20
  4. Step 4: Simplify right side
    7,291.60x = 31,867,622.16
  5. Step 5: Solve for x
    x = 31,867,622.16/7,291.60
  6. Step 6: Final answer
    x = 4,370.46

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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.