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Finding the Fourth Proportional to 3,793.74, 5,688.68 and 2,848.05

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Solution

The fourth proportional to 3,793.74, 5,688.68 and 2,848.05 is: 4,270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.74 : 5,688.68 = 2,848.05 : x
  2. Step 2: Convert to fraction form
    3,793.74/5,688.68 = 2,848.05/x
  3. Step 3: Cross multiply
    3,793.74x = 5,688.68 × 2,848.05
  4. Step 4: Simplify right side
    3,793.74x = 16,201,630.83
  5. Step 5: Solve for x
    x = 16,201,630.83/3,793.74
  6. Step 6: Final answer
    x = 4,270.62

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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.