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Finding the Fourth Proportional to 3,189.84, 4,401.72 and 1,792.56

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Solution

The fourth proportional to 3,189.84, 4,401.72 and 1,792.56 is: 2,473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.84 : 4,401.72 = 1,792.56 : x
  2. Step 2: Convert to fraction form
    3,189.84/4,401.72 = 1,792.56/x
  3. Step 3: Cross multiply
    3,189.84x = 4,401.72 × 1,792.56
  4. Step 4: Simplify right side
    3,189.84x = 7,890,347.20
  5. Step 5: Solve for x
    x = 7,890,347.20/3,189.84
  6. Step 6: Final answer
    x = 2,473.59

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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.