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Finding the Fourth Proportional to 4,608.66, 6,923.22 and 2,854.95

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Solution

The fourth proportional to 4,608.66, 6,923.22 and 2,854.95 is: 4,288.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.66 : 6,923.22 = 2,854.95 : x
  2. Step 2: Convert to fraction form
    4,608.66/6,923.22 = 2,854.95/x
  3. Step 3: Cross multiply
    4,608.66x = 6,923.22 × 2,854.95
  4. Step 4: Simplify right side
    4,608.66x = 19,765,446.94
  5. Step 5: Solve for x
    x = 19,765,446.94/4,608.66
  6. Step 6: Final answer
    x = 4,288.76

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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.