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Finding the Fourth Proportional to 5,695.57, 7,864.84 and 3,574.78

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Solution

The fourth proportional to 5,695.57, 7,864.84 and 3,574.78 is: 4,936.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.57 : 7,864.84 = 3,574.78 : x
  2. Step 2: Convert to fraction form
    5,695.57/7,864.84 = 3,574.78/x
  3. Step 3: Cross multiply
    5,695.57x = 7,864.84 × 3,574.78
  4. Step 4: Simplify right side
    5,695.57x = 28,115,091.73
  5. Step 5: Solve for x
    x = 28,115,091.73/5,695.57
  6. Step 6: Final answer
    x = 4,936.31

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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.