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Finding the Fourth Proportional to 5,816, 8,726.80 and 2,894.56

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Solution

The fourth proportional to 5,816, 8,726.80 and 2,894.56 is: 4,343.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,816 : 8,726.80 = 2,894.56 : x
  2. Step 2: Convert to fraction form
    5,816/8,726.80 = 2,894.56/x
  3. Step 3: Cross multiply
    5,816x = 8,726.80 × 2,894.56
  4. Step 4: Simplify right side
    5,816x = 25,260,246.21
  5. Step 5: Solve for x
    x = 25,260,246.21/5,816
  6. Step 6: Final answer
    x = 4,343.23

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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.