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Finding the Fourth Proportional to 5,753.68, 7,939.71 and 3,235.77

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Solution

The fourth proportional to 5,753.68, 7,939.71 and 3,235.77 is: 4,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.68 : 7,939.71 = 3,235.77 : x
  2. Step 2: Convert to fraction form
    5,753.68/7,939.71 = 3,235.77/x
  3. Step 3: Cross multiply
    5,753.68x = 7,939.71 × 3,235.77
  4. Step 4: Simplify right side
    5,753.68x = 25,691,075.43
  5. Step 5: Solve for x
    x = 25,691,075.43/5,753.68
  6. Step 6: Final answer
    x = 4,465.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.