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Finding the Fourth Proportional to 3,406.32, 5,100.74 and 2,232.86

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Solution

The fourth proportional to 3,406.32, 5,100.74 and 2,232.86 is: 3,343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.32 : 5,100.74 = 2,232.86 : x
  2. Step 2: Convert to fraction form
    3,406.32/5,100.74 = 2,232.86/x
  3. Step 3: Cross multiply
    3,406.32x = 5,100.74 × 2,232.86
  4. Step 4: Simplify right side
    3,406.32x = 11,389,210.02
  5. Step 5: Solve for x
    x = 11,389,210.02/3,406.32
  6. Step 6: Final answer
    x = 3,343.55

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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.