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Finding the Fourth Proportional to 3,511.98, 5,268.54 and 1,320.88

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Solution

The fourth proportional to 3,511.98, 5,268.54 and 1,320.88 is: 1,981.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.98 : 5,268.54 = 1,320.88 : x
  2. Step 2: Convert to fraction form
    3,511.98/5,268.54 = 1,320.88/x
  3. Step 3: Cross multiply
    3,511.98x = 5,268.54 × 1,320.88
  4. Step 4: Simplify right side
    3,511.98x = 6,959,109.12
  5. Step 5: Solve for x
    x = 6,959,109.12/3,511.98
  6. Step 6: Final answer
    x = 1,981.53

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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.