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Finding the Fourth Proportional to 3,487.31, 5,231.77 and 1,022.32

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Solution

The fourth proportional to 3,487.31, 5,231.77 and 1,022.32 is: 1,533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.31 : 5,231.77 = 1,022.32 : x
  2. Step 2: Convert to fraction form
    3,487.31/5,231.77 = 1,022.32/x
  3. Step 3: Cross multiply
    3,487.31x = 5,231.77 × 1,022.32
  4. Step 4: Simplify right side
    3,487.31x = 5,348,543.11
  5. Step 5: Solve for x
    x = 5,348,543.11/3,487.31
  6. Step 6: Final answer
    x = 1,533.72

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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.