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Finding the Fourth Proportional to 3,502.20, 5,259.60 and 3,346.50

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Solution

The fourth proportional to 3,502.20, 5,259.60 and 3,346.50 is: 5,025.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.20 : 5,259.60 = 3,346.50 : x
  2. Step 2: Convert to fraction form
    3,502.20/5,259.60 = 3,346.50/x
  3. Step 3: Cross multiply
    3,502.20x = 5,259.60 × 3,346.50
  4. Step 4: Simplify right side
    3,502.20x = 17,601,251.40
  5. Step 5: Solve for x
    x = 17,601,251.40/3,502.20
  6. Step 6: Final answer
    x = 5,025.77

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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.