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Finding the Fourth Proportional to 5,297.72, 7,947.92 and 3,740.75

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Solution

The fourth proportional to 5,297.72, 7,947.92 and 3,740.75 is: 5,612.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.72 : 7,947.92 = 3,740.75 : x
  2. Step 2: Convert to fraction form
    5,297.72/7,947.92 = 3,740.75/x
  3. Step 3: Cross multiply
    5,297.72x = 7,947.92 × 3,740.75
  4. Step 4: Simplify right side
    5,297.72x = 29,731,181.74
  5. Step 5: Solve for x
    x = 29,731,181.74/5,297.72
  6. Step 6: Final answer
    x = 5,612.07

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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.