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Finding the Fourth Proportional to 3,530.77, 5,293.38 and 2,229.50

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Solution

The fourth proportional to 3,530.77, 5,293.38 and 2,229.50 is: 3,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.77 : 5,293.38 = 2,229.50 : x
  2. Step 2: Convert to fraction form
    3,530.77/5,293.38 = 2,229.50/x
  3. Step 3: Cross multiply
    3,530.77x = 5,293.38 × 2,229.50
  4. Step 4: Simplify right side
    3,530.77x = 11,801,590.71
  5. Step 5: Solve for x
    x = 11,801,590.71/3,530.77
  6. Step 6: Final answer
    x = 3,342.50

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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.