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Finding the Fourth Proportional to 4,033, 5,559.78 and 2,856.76

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Solution

The fourth proportional to 4,033, 5,559.78 and 2,856.76 is: 3,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,033 : 5,559.78 = 2,856.76 : x
  2. Step 2: Convert to fraction form
    4,033/5,559.78 = 2,856.76/x
  3. Step 3: Cross multiply
    4,033x = 5,559.78 × 2,856.76
  4. Step 4: Simplify right side
    4,033x = 15,882,957.11
  5. Step 5: Solve for x
    x = 15,882,957.11/4,033
  6. Step 6: Final answer
    x = 3,938.25

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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.