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Finding the Fourth Proportional to 3,563.84, 4,920.41 and 3,190.17

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Solution

The fourth proportional to 3,563.84, 4,920.41 and 3,190.17 is: 4,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.84 : 4,920.41 = 3,190.17 : x
  2. Step 2: Convert to fraction form
    3,563.84/4,920.41 = 3,190.17/x
  3. Step 3: Cross multiply
    3,563.84x = 4,920.41 × 3,190.17
  4. Step 4: Simplify right side
    3,563.84x = 15,696,950.42
  5. Step 5: Solve for x
    x = 15,696,950.42/3,563.84
  6. Step 6: Final answer
    x = 4,404.50

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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.