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Finding the Fourth Proportional to 3,714.38, 5,127.98 and 2,775.33

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Solution

The fourth proportional to 3,714.38, 5,127.98 and 2,775.33 is: 3,831.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.38 : 5,127.98 = 2,775.33 : x
  2. Step 2: Convert to fraction form
    3,714.38/5,127.98 = 2,775.33/x
  3. Step 3: Cross multiply
    3,714.38x = 5,127.98 × 2,775.33
  4. Step 4: Simplify right side
    3,714.38x = 14,231,822.86
  5. Step 5: Solve for x
    x = 14,231,822.86/3,714.38
  6. Step 6: Final answer
    x = 3,831.55

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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.