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Finding the Fourth Proportional to 3,793.67, 5,693.07 and 1,328.51

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Solution

The fourth proportional to 3,793.67, 5,693.07 and 1,328.51 is: 1,993.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.67 : 5,693.07 = 1,328.51 : x
  2. Step 2: Convert to fraction form
    3,793.67/5,693.07 = 1,328.51/x
  3. Step 3: Cross multiply
    3,793.67x = 5,693.07 × 1,328.51
  4. Step 4: Simplify right side
    3,793.67x = 7,563,271.96
  5. Step 5: Solve for x
    x = 7,563,271.96/3,793.67
  6. Step 6: Final answer
    x = 1,993.66

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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.