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Finding the Fourth Proportional to 3,793.80, 5,693.42 and 1,603.15

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Solution

The fourth proportional to 3,793.80, 5,693.42 and 1,603.15 is: 2,405.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.80 : 5,693.42 = 1,603.15 : x
  2. Step 2: Convert to fraction form
    3,793.80/5,693.42 = 1,603.15/x
  3. Step 3: Cross multiply
    3,793.80x = 5,693.42 × 1,603.15
  4. Step 4: Simplify right side
    3,793.80x = 9,127,406.27
  5. Step 5: Solve for x
    x = 9,127,406.27/3,793.80
  6. Step 6: Final answer
    x = 2,405.87

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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.