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Finding the Fourth Proportional to 5,952.57, 8,218.28 and 3,831.79

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Solution

The fourth proportional to 5,952.57, 8,218.28 and 3,831.79 is: 5,290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.57 : 8,218.28 = 3,831.79 : x
  2. Step 2: Convert to fraction form
    5,952.57/8,218.28 = 3,831.79/x
  3. Step 3: Cross multiply
    5,952.57x = 8,218.28 × 3,831.79
  4. Step 4: Simplify right side
    5,952.57x = 31,490,712.15
  5. Step 5: Solve for x
    x = 31,490,712.15/5,952.57
  6. Step 6: Final answer
    x = 5,290.27

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1.5x scale

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.