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Finding the Fourth Proportional to 5,754.22, 8,629.17 and 2,055.46

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Solution

The fourth proportional to 5,754.22, 8,629.17 and 2,055.46 is: 3,082.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.22 : 8,629.17 = 2,055.46 : x
  2. Step 2: Convert to fraction form
    5,754.22/8,629.17 = 2,055.46/x
  3. Step 3: Cross multiply
    5,754.22x = 8,629.17 × 2,055.46
  4. Step 4: Simplify right side
    5,754.22x = 17,736,913.77
  5. Step 5: Solve for x
    x = 17,736,913.77/5,754.22
  6. Step 6: Final answer
    x = 3,082.42

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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.