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Finding the Fourth Proportional to 3,502.34, 5,255.33 and 3,300.65

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Solution

The fourth proportional to 3,502.34, 5,255.33 and 3,300.65 is: 4,952.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.34 : 5,255.33 = 3,300.65 : x
  2. Step 2: Convert to fraction form
    3,502.34/5,255.33 = 3,300.65/x
  3. Step 3: Cross multiply
    3,502.34x = 5,255.33 × 3,300.65
  4. Step 4: Simplify right side
    3,502.34x = 17,346,004.96
  5. Step 5: Solve for x
    x = 17,346,004.96/3,502.34
  6. Step 6: Final answer
    x = 4,952.69

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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.