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Finding the Fourth Proportional to 3,912.32, 5,863.80 and 1,570.16

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Solution

The fourth proportional to 3,912.32, 5,863.80 and 1,570.16 is: 2,353.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.32 : 5,863.80 = 1,570.16 : x
  2. Step 2: Convert to fraction form
    3,912.32/5,863.80 = 1,570.16/x
  3. Step 3: Cross multiply
    3,912.32x = 5,863.80 × 1,570.16
  4. Step 4: Simplify right side
    3,912.32x = 9,207,104.21
  5. Step 5: Solve for x
    x = 9,207,104.21/3,912.32
  6. Step 6: Final answer
    x = 2,353.36

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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.