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Finding the Fourth Proportional to 5,767.57, 7,959.87 and 3,530.95

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Solution

The fourth proportional to 5,767.57, 7,959.87 and 3,530.95 is: 4,873.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.57 : 7,959.87 = 3,530.95 : x
  2. Step 2: Convert to fraction form
    5,767.57/7,959.87 = 3,530.95/x
  3. Step 3: Cross multiply
    5,767.57x = 7,959.87 × 3,530.95
  4. Step 4: Simplify right side
    5,767.57x = 28,105,902.98
  5. Step 5: Solve for x
    x = 28,105,902.98/5,767.57
  6. Step 6: Final answer
    x = 4,873.09

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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.