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Finding the Fourth Proportional to 4,831.30, 6,667.14 and 2,735.32

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Solution

The fourth proportional to 4,831.30, 6,667.14 and 2,735.32 is: 3,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,831.30 : 6,667.14 = 2,735.32 : x
  2. Step 2: Convert to fraction form
    4,831.30/6,667.14 = 2,735.32/x
  3. Step 3: Cross multiply
    4,831.30x = 6,667.14 × 2,735.32
  4. Step 4: Simplify right side
    4,831.30x = 18,236,761.38
  5. Step 5: Solve for x
    x = 18,236,761.38/4,831.30
  6. Step 6: Final answer
    x = 3,774.71

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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.