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Finding the Fourth Proportional to 4,952.38, 6,831.78 and 2,962.40

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Solution

The fourth proportional to 4,952.38, 6,831.78 and 2,962.40 is: 4,086.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.38 : 6,831.78 = 2,962.40 : x
  2. Step 2: Convert to fraction form
    4,952.38/6,831.78 = 2,962.40/x
  3. Step 3: Cross multiply
    4,952.38x = 6,831.78 × 2,962.40
  4. Step 4: Simplify right side
    4,952.38x = 20,238,465.07
  5. Step 5: Solve for x
    x = 20,238,465.07/4,952.38
  6. Step 6: Final answer
    x = 4,086.61

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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.