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Finding the Fourth Proportional to 3,859.65, 5,326.89 and 2,266.23

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Solution

The fourth proportional to 3,859.65, 5,326.89 and 2,266.23 is: 3,127.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.65 : 5,326.89 = 2,266.23 : x
  2. Step 2: Convert to fraction form
    3,859.65/5,326.89 = 2,266.23/x
  3. Step 3: Cross multiply
    3,859.65x = 5,326.89 × 2,266.23
  4. Step 4: Simplify right side
    3,859.65x = 12,071,957.92
  5. Step 5: Solve for x
    x = 12,071,957.92/3,859.65
  6. Step 6: Final answer
    x = 3,127.73

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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.