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Finding the Fourth Proportional to 3,364.13, 5,013.60 and 3,189.17

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Solution

The fourth proportional to 3,364.13, 5,013.60 and 3,189.17 is: 4,752.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.13 : 5,013.60 = 3,189.17 : x
  2. Step 2: Convert to fraction form
    3,364.13/5,013.60 = 3,189.17/x
  3. Step 3: Cross multiply
    3,364.13x = 5,013.60 × 3,189.17
  4. Step 4: Simplify right side
    3,364.13x = 15,989,197.64
  5. Step 5: Solve for x
    x = 15,989,197.64/3,364.13
  6. Step 6: Final answer
    x = 4,752.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.