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Finding the Fourth Proportional to 3,752.82, 5,628.02 and 1,562.18

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Solution

The fourth proportional to 3,752.82, 5,628.02 and 1,562.18 is: 2,342.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.82 : 5,628.02 = 1,562.18 : x
  2. Step 2: Convert to fraction form
    3,752.82/5,628.02 = 1,562.18/x
  3. Step 3: Cross multiply
    3,752.82x = 5,628.02 × 1,562.18
  4. Step 4: Simplify right side
    3,752.82x = 8,791,944.33
  5. Step 5: Solve for x
    x = 8,791,944.33/3,752.82
  6. Step 6: Final answer
    x = 2,342.76

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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.