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Finding the Fourth Proportional to 5,698.49, 7,863.89 and 3,180.57

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Solution

The fourth proportional to 5,698.49, 7,863.89 and 3,180.57 is: 4,389.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.49 : 7,863.89 = 3,180.57 : x
  2. Step 2: Convert to fraction form
    5,698.49/7,863.89 = 3,180.57/x
  3. Step 3: Cross multiply
    5,698.49x = 7,863.89 × 3,180.57
  4. Step 4: Simplify right side
    5,698.49x = 25,011,652.62
  5. Step 5: Solve for x
    x = 25,011,652.62/5,698.49
  6. Step 6: Final answer
    x = 4,389.17

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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.