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Finding the Fourth Proportional to 3,189.93, 4,402 and 1,864.36

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Solution

The fourth proportional to 3,189.93, 4,402 and 1,864.36 is: 2,572.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.93 : 4,402 = 1,864.36 : x
  2. Step 2: Convert to fraction form
    3,189.93/4,402 = 1,864.36/x
  3. Step 3: Cross multiply
    3,189.93x = 4,402 × 1,864.36
  4. Step 4: Simplify right side
    3,189.93x = 8,206,912.72
  5. Step 5: Solve for x
    x = 8,206,912.72/3,189.93
  6. Step 6: Final answer
    x = 2,572.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.