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Finding the Fourth Proportional to 6,022.30, 8,316.82 and 4,138.65

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Solution

The fourth proportional to 6,022.30, 8,316.82 and 4,138.65 is: 5,715.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,022.30 : 8,316.82 = 4,138.65 : x
  2. Step 2: Convert to fraction form
    6,022.30/8,316.82 = 4,138.65/x
  3. Step 3: Cross multiply
    6,022.30x = 8,316.82 × 4,138.65
  4. Step 4: Simplify right side
    6,022.30x = 34,420,407.09
  5. Step 5: Solve for x
    x = 34,420,407.09/6,022.30
  6. Step 6: Final answer
    x = 5,715.49

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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.