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Finding the Fourth Proportional to 4,426.56, 6,640.56 and 1,831.32

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Solution

The fourth proportional to 4,426.56, 6,640.56 and 1,831.32 is: 2,747.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,426.56 : 6,640.56 = 1,831.32 : x
  2. Step 2: Convert to fraction form
    4,426.56/6,640.56 = 1,831.32/x
  3. Step 3: Cross multiply
    4,426.56x = 6,640.56 × 1,831.32
  4. Step 4: Simplify right side
    4,426.56x = 12,160,990.34
  5. Step 5: Solve for x
    x = 12,160,990.34/4,426.56
  6. Step 6: Final answer
    x = 2,747.28

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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.