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Finding the Fourth Proportional to 3,562.70, 5,346.92 and 1,831.82

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Solution

The fourth proportional to 3,562.70, 5,346.92 and 1,831.82 is: 2,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.70 : 5,346.92 = 1,831.82 : x
  2. Step 2: Convert to fraction form
    3,562.70/5,346.92 = 1,831.82/x
  3. Step 3: Cross multiply
    3,562.70x = 5,346.92 × 1,831.82
  4. Step 4: Simplify right side
    3,562.70x = 9,794,572.84
  5. Step 5: Solve for x
    x = 9,794,572.84/3,562.70
  6. Step 6: Final answer
    x = 2,749.20

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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.