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Finding the Fourth Proportional to 3,407.32, 5,109.40 and 2,002.40

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Solution

The fourth proportional to 3,407.32, 5,109.40 and 2,002.40 is: 3,002.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.32 : 5,109.40 = 2,002.40 : x
  2. Step 2: Convert to fraction form
    3,407.32/5,109.40 = 2,002.40/x
  3. Step 3: Cross multiply
    3,407.32x = 5,109.40 × 2,002.40
  4. Step 4: Simplify right side
    3,407.32x = 10,231,062.56
  5. Step 5: Solve for x
    x = 10,231,062.56/3,407.32
  6. Step 6: Final answer
    x = 3,002.67

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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.