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Finding the Fourth Proportional to 5,230.80, 7,831.80 and 4,078.80

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Solution

The fourth proportional to 5,230.80, 7,831.80 and 4,078.80 is: 6,106.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.80 : 7,831.80 = 4,078.80 : x
  2. Step 2: Convert to fraction form
    5,230.80/7,831.80 = 4,078.80/x
  3. Step 3: Cross multiply
    5,230.80x = 7,831.80 × 4,078.80
  4. Step 4: Simplify right side
    5,230.80x = 31,944,345.84
  5. Step 5: Solve for x
    x = 31,944,345.84/5,230.80
  6. Step 6: Final answer
    x = 6,106.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.