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Finding the Fourth Proportional to 3,831.26, 5,746.92 and 1,638.86

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Solution

The fourth proportional to 3,831.26, 5,746.92 and 1,638.86 is: 2,458.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.26 : 5,746.92 = 1,638.86 : x
  2. Step 2: Convert to fraction form
    3,831.26/5,746.92 = 1,638.86/x
  3. Step 3: Cross multiply
    3,831.26x = 5,746.92 × 1,638.86
  4. Step 4: Simplify right side
    3,831.26x = 9,418,397.31
  5. Step 5: Solve for x
    x = 9,418,397.31/3,831.26
  6. Step 6: Final answer
    x = 2,458.30

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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.