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Finding the Fourth Proportional to 3,067.16, 4,600.05 and 875.84

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Solution

The fourth proportional to 3,067.16, 4,600.05 and 875.84 is: 1,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.16 : 4,600.05 = 875.84 : x
  2. Step 2: Convert to fraction form
    3,067.16/4,600.05 = 875.84/x
  3. Step 3: Cross multiply
    3,067.16x = 4,600.05 × 875.84
  4. Step 4: Simplify right side
    3,067.16x = 4,028,907.79
  5. Step 5: Solve for x
    x = 4,028,907.79/3,067.16
  6. Step 6: Final answer
    x = 1,313.56

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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.