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Finding the Fourth Proportional to 5,148.66, 7,723.15 and 2,028.54

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Solution

The fourth proportional to 5,148.66, 7,723.15 and 2,028.54 is: 3,042.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.66 : 7,723.15 = 2,028.54 : x
  2. Step 2: Convert to fraction form
    5,148.66/7,723.15 = 2,028.54/x
  3. Step 3: Cross multiply
    5,148.66x = 7,723.15 × 2,028.54
  4. Step 4: Simplify right side
    5,148.66x = 15,666,742.59
  5. Step 5: Solve for x
    x = 15,666,742.59/5,148.66
  6. Step 6: Final answer
    x = 3,042.88

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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.