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Finding the Fourth Proportional to 4,219.39, 6,291.09 and 3,868.10

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Solution

The fourth proportional to 4,219.39, 6,291.09 and 3,868.10 is: 5,767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.39 : 6,291.09 = 3,868.10 : x
  2. Step 2: Convert to fraction form
    4,219.39/6,291.09 = 3,868.10/x
  3. Step 3: Cross multiply
    4,219.39x = 6,291.09 × 3,868.10
  4. Step 4: Simplify right side
    4,219.39x = 24,334,561.62
  5. Step 5: Solve for x
    x = 24,334,561.62/4,219.39
  6. Step 6: Final answer
    x = 5,767.32

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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.