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Finding the Fourth Proportional to 3,478.19, 4,797.11 and 3,057.65

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Solution

The fourth proportional to 3,478.19, 4,797.11 and 3,057.65 is: 4,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.19 : 4,797.11 = 3,057.65 : x
  2. Step 2: Convert to fraction form
    3,478.19/4,797.11 = 3,057.65/x
  3. Step 3: Cross multiply
    3,478.19x = 4,797.11 × 3,057.65
  4. Step 4: Simplify right side
    3,478.19x = 14,667,844.12
  5. Step 5: Solve for x
    x = 14,667,844.12/3,478.19
  6. Step 6: Final answer
    x = 4,217.10

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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.