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Finding the Fourth Proportional to 3,231.32, 4,847.44 and 1,039.32

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Solution

The fourth proportional to 3,231.32, 4,847.44 and 1,039.32 is: 1,559.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.32 : 4,847.44 = 1,039.32 : x
  2. Step 2: Convert to fraction form
    3,231.32/4,847.44 = 1,039.32/x
  3. Step 3: Cross multiply
    3,231.32x = 4,847.44 × 1,039.32
  4. Step 4: Simplify right side
    3,231.32x = 5,038,041.34
  5. Step 5: Solve for x
    x = 5,038,041.34/3,231.32
  6. Step 6: Final answer
    x = 1,559.13

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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.