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Finding the Fourth Proportional to 4,550.77, 6,831.15 and 3,860.65

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Solution

The fourth proportional to 4,550.77, 6,831.15 and 3,860.65 is: 5,795.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550.77 : 6,831.15 = 3,860.65 : x
  2. Step 2: Convert to fraction form
    4,550.77/6,831.15 = 3,860.65/x
  3. Step 3: Cross multiply
    4,550.77x = 6,831.15 × 3,860.65
  4. Step 4: Simplify right side
    4,550.77x = 26,372,679.25
  5. Step 5: Solve for x
    x = 26,372,679.25/4,550.77
  6. Step 6: Final answer
    x = 5,795.21

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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.