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Finding the Fourth Proportional to 3,767.51, 5,198.87 and 2,088.89

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Solution

The fourth proportional to 3,767.51, 5,198.87 and 2,088.89 is: 2,882.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.51 : 5,198.87 = 2,088.89 : x
  2. Step 2: Convert to fraction form
    3,767.51/5,198.87 = 2,088.89/x
  3. Step 3: Cross multiply
    3,767.51x = 5,198.87 × 2,088.89
  4. Step 4: Simplify right side
    3,767.51x = 10,859,831.12
  5. Step 5: Solve for x
    x = 10,859,831.12/3,767.51
  6. Step 6: Final answer
    x = 2,882.50

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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.