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Finding the Fourth Proportional to 3,793.94, 5,686.02 and 3,752.66

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Solution

The fourth proportional to 3,793.94, 5,686.02 and 3,752.66 is: 5,624.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.94 : 5,686.02 = 3,752.66 : x
  2. Step 2: Convert to fraction form
    3,793.94/5,686.02 = 3,752.66/x
  3. Step 3: Cross multiply
    3,793.94x = 5,686.02 × 3,752.66
  4. Step 4: Simplify right side
    3,793.94x = 21,337,699.81
  5. Step 5: Solve for x
    x = 21,337,699.81/3,793.94
  6. Step 6: Final answer
    x = 5,624.15

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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.