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Finding the Fourth Proportional to 3,346.50, 5,019.45 and 2,257.86

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Solution

The fourth proportional to 3,346.50, 5,019.45 and 2,257.86 is: 3,386.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.50 : 5,019.45 = 2,257.86 : x
  2. Step 2: Convert to fraction form
    3,346.50/5,019.45 = 2,257.86/x
  3. Step 3: Cross multiply
    3,346.50x = 5,019.45 × 2,257.86
  4. Step 4: Simplify right side
    3,346.50x = 11,333,215.38
  5. Step 5: Solve for x
    x = 11,333,215.38/3,346.50
  6. Step 6: Final answer
    x = 3,386.59

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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.