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Finding the Fourth Proportional to 3,617.84, 5,429.20 and 1,767.40

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Solution

The fourth proportional to 3,617.84, 5,429.20 and 1,767.40 is: 2,652.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.84 : 5,429.20 = 1,767.40 : x
  2. Step 2: Convert to fraction form
    3,617.84/5,429.20 = 1,767.40/x
  3. Step 3: Cross multiply
    3,617.84x = 5,429.20 × 1,767.40
  4. Step 4: Simplify right side
    3,617.84x = 9,595,568.08
  5. Step 5: Solve for x
    x = 9,595,568.08/3,617.84
  6. Step 6: Final answer
    x = 2,652.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.