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Finding the Fourth Proportional to 5,726.40, 8,588.40 and 2,806.80

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Solution

The fourth proportional to 5,726.40, 8,588.40 and 2,806.80 is: 4,209.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.40 : 8,588.40 = 2,806.80 : x
  2. Step 2: Convert to fraction form
    5,726.40/8,588.40 = 2,806.80/x
  3. Step 3: Cross multiply
    5,726.40x = 8,588.40 × 2,806.80
  4. Step 4: Simplify right side
    5,726.40x = 24,105,921.12
  5. Step 5: Solve for x
    x = 24,105,921.12/5,726.40
  6. Step 6: Final answer
    x = 4,209.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.