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Finding the Fourth Proportional to 5,820.80, 8,724.02 and 2,696.51

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Solution

The fourth proportional to 5,820.80, 8,724.02 and 2,696.51 is: 4,041.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.80 : 8,724.02 = 2,696.51 : x
  2. Step 2: Convert to fraction form
    5,820.80/8,724.02 = 2,696.51/x
  3. Step 3: Cross multiply
    5,820.80x = 8,724.02 × 2,696.51
  4. Step 4: Simplify right side
    5,820.80x = 23,524,350.07
  5. Step 5: Solve for x
    x = 23,524,350.07/5,820.80
  6. Step 6: Final answer
    x = 4,041.43

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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.