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Finding the Fourth Proportional to 3,511.59, 5,264.13 and 1,321.77

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Solution

The fourth proportional to 3,511.59, 5,264.13 and 1,321.77 is: 1,981.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.59 : 5,264.13 = 1,321.77 : x
  2. Step 2: Convert to fraction form
    3,511.59/5,264.13 = 1,321.77/x
  3. Step 3: Cross multiply
    3,511.59x = 5,264.13 × 1,321.77
  4. Step 4: Simplify right side
    3,511.59x = 6,957,969.11
  5. Step 5: Solve for x
    x = 6,957,969.11/3,511.59
  6. Step 6: Final answer
    x = 1,981.43

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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.