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Finding the Fourth Proportional to 5,264.87, 7,891.76 and 1,753.94

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Solution

The fourth proportional to 5,264.87, 7,891.76 and 1,753.94 is: 2,629.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.87 : 7,891.76 = 1,753.94 : x
  2. Step 2: Convert to fraction form
    5,264.87/7,891.76 = 1,753.94/x
  3. Step 3: Cross multiply
    5,264.87x = 7,891.76 × 1,753.94
  4. Step 4: Simplify right side
    5,264.87x = 13,841,625.31
  5. Step 5: Solve for x
    x = 13,841,625.31/5,264.87
  6. Step 6: Final answer
    x = 2,629.06

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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.