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Finding the Fourth Proportional to 5,785.65, 7,982.01 and 3,545.73

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Solution

The fourth proportional to 5,785.65, 7,982.01 and 3,545.73 is: 4,891.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.65 : 7,982.01 = 3,545.73 : x
  2. Step 2: Convert to fraction form
    5,785.65/7,982.01 = 3,545.73/x
  3. Step 3: Cross multiply
    5,785.65x = 7,982.01 × 3,545.73
  4. Step 4: Simplify right side
    5,785.65x = 28,302,052.32
  5. Step 5: Solve for x
    x = 28,302,052.32/5,785.65
  6. Step 6: Final answer
    x = 4,891.77

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1.5x scale

Why These Related Problems?

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