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Finding the Fourth Proportional to 3,793.10, 5,685.10 and 2,477.48

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Solution

The fourth proportional to 3,793.10, 5,685.10 and 2,477.48 is: 3,713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.10 : 5,685.10 = 2,477.48 : x
  2. Step 2: Convert to fraction form
    3,793.10/5,685.10 = 2,477.48/x
  3. Step 3: Cross multiply
    3,793.10x = 5,685.10 × 2,477.48
  4. Step 4: Simplify right side
    3,793.10x = 14,084,721.55
  5. Step 5: Solve for x
    x = 14,084,721.55/3,793.10
  6. Step 6: Final answer
    x = 3,713.25

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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.