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Finding the Fourth Proportional to 3,222.61, 4,459.38 and 2,749.79

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Solution

The fourth proportional to 3,222.61, 4,459.38 and 2,749.79 is: 3,805.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.61 : 4,459.38 = 2,749.79 : x
  2. Step 2: Convert to fraction form
    3,222.61/4,459.38 = 2,749.79/x
  3. Step 3: Cross multiply
    3,222.61x = 4,459.38 × 2,749.79
  4. Step 4: Simplify right side
    3,222.61x = 12,262,358.53
  5. Step 5: Solve for x
    x = 12,262,358.53/3,222.61
  6. Step 6: Final answer
    x = 3,805.10

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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.