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Finding the Fourth Proportional to 3,511.84, 5,268.62 and 1,320.63

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Solution

The fourth proportional to 3,511.84, 5,268.62 and 1,320.63 is: 1,981.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.84 : 5,268.62 = 1,320.63 : x
  2. Step 2: Convert to fraction form
    3,511.84/5,268.62 = 1,320.63/x
  3. Step 3: Cross multiply
    3,511.84x = 5,268.62 × 1,320.63
  4. Step 4: Simplify right side
    3,511.84x = 6,957,892.28
  5. Step 5: Solve for x
    x = 6,957,892.28/3,511.84
  6. Step 6: Final answer
    x = 1,981.26

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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.