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Finding the Fourth Proportional to 4,705.92, 7,049.73 and 3,652.50

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Solution

The fourth proportional to 4,705.92, 7,049.73 and 3,652.50 is: 5,471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.92 : 7,049.73 = 3,652.50 : x
  2. Step 2: Convert to fraction form
    4,705.92/7,049.73 = 3,652.50/x
  3. Step 3: Cross multiply
    4,705.92x = 7,049.73 × 3,652.50
  4. Step 4: Simplify right side
    4,705.92x = 25,749,138.83
  5. Step 5: Solve for x
    x = 25,749,138.83/4,705.92
  6. Step 6: Final answer
    x = 5,471.65

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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.