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Finding the Fourth Proportional to 3,767.80, 5,651.70 and 2,601.40

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Solution

The fourth proportional to 3,767.80, 5,651.70 and 2,601.40 is: 3,902.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.80 : 5,651.70 = 2,601.40 : x
  2. Step 2: Convert to fraction form
    3,767.80/5,651.70 = 2,601.40/x
  3. Step 3: Cross multiply
    3,767.80x = 5,651.70 × 2,601.40
  4. Step 4: Simplify right side
    3,767.80x = 14,702,332.38
  5. Step 5: Solve for x
    x = 14,702,332.38/3,767.80
  6. Step 6: Final answer
    x = 3,902.10

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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.