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Finding the Fourth Proportional to 3,226.65, 4,454.64 and 2,107.10

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Solution

The fourth proportional to 3,226.65, 4,454.64 and 2,107.10 is: 2,909.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.65 : 4,454.64 = 2,107.10 : x
  2. Step 2: Convert to fraction form
    3,226.65/4,454.64 = 2,107.10/x
  3. Step 3: Cross multiply
    3,226.65x = 4,454.64 × 2,107.10
  4. Step 4: Simplify right side
    3,226.65x = 9,386,371.94
  5. Step 5: Solve for x
    x = 9,386,371.94/3,226.65
  6. Step 6: Final answer
    x = 2,909.01

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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.