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Finding the Fourth Proportional to 3,806.91, 5,254.13 and 2,315.29

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Solution

The fourth proportional to 3,806.91, 5,254.13 and 2,315.29 is: 3,195.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.91 : 5,254.13 = 2,315.29 : x
  2. Step 2: Convert to fraction form
    3,806.91/5,254.13 = 2,315.29/x
  3. Step 3: Cross multiply
    3,806.91x = 5,254.13 × 2,315.29
  4. Step 4: Simplify right side
    3,806.91x = 12,164,834.65
  5. Step 5: Solve for x
    x = 12,164,834.65/3,806.91
  6. Step 6: Final answer
    x = 3,195.46

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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.