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Finding the Fourth Proportional to 2,971.38, 4,102.05 and 2,775.06

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Solution

The fourth proportional to 2,971.38, 4,102.05 and 2,775.06 is: 3,831.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.38 : 4,102.05 = 2,775.06 : x
  2. Step 2: Convert to fraction form
    2,971.38/4,102.05 = 2,775.06/x
  3. Step 3: Cross multiply
    2,971.38x = 4,102.05 × 2,775.06
  4. Step 4: Simplify right side
    2,971.38x = 11,383,434.87
  5. Step 5: Solve for x
    x = 11,383,434.87/2,971.38
  6. Step 6: Final answer
    x = 3,831.03

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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.