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Finding the Fourth Proportional to 3,512.34, 5,267.88 and 1,321.14

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Solution

The fourth proportional to 3,512.34, 5,267.88 and 1,321.14 is: 1,981.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.34 : 5,267.88 = 1,321.14 : x
  2. Step 2: Convert to fraction form
    3,512.34/5,267.88 = 1,321.14/x
  3. Step 3: Cross multiply
    3,512.34x = 5,267.88 × 1,321.14
  4. Step 4: Simplify right side
    3,512.34x = 6,959,606.98
  5. Step 5: Solve for x
    x = 6,959,606.98/3,512.34
  6. Step 6: Final answer
    x = 1,981.47

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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.