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Finding the Fourth Proportional to 3,433.84, 5,157.64 and 2,049.87

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Solution

The fourth proportional to 3,433.84, 5,157.64 and 2,049.87 is: 3,078.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.84 : 5,157.64 = 2,049.87 : x
  2. Step 2: Convert to fraction form
    3,433.84/5,157.64 = 2,049.87/x
  3. Step 3: Cross multiply
    3,433.84x = 5,157.64 × 2,049.87
  4. Step 4: Simplify right side
    3,433.84x = 10,572,491.51
  5. Step 5: Solve for x
    x = 10,572,491.51/3,433.84
  6. Step 6: Final answer
    x = 3,078.91

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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.