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Finding the Fourth Proportional to 3,500.49, 4,831.33 and 2,009.38

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Solution

The fourth proportional to 3,500.49, 4,831.33 and 2,009.38 is: 2,773.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.49 : 4,831.33 = 2,009.38 : x
  2. Step 2: Convert to fraction form
    3,500.49/4,831.33 = 2,009.38/x
  3. Step 3: Cross multiply
    3,500.49x = 4,831.33 × 2,009.38
  4. Step 4: Simplify right side
    3,500.49x = 9,707,976.86
  5. Step 5: Solve for x
    x = 9,707,976.86/3,500.49
  6. Step 6: Final answer
    x = 2,773.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.