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Finding the Fourth Proportional to 3,706.84, 5,115.29 and 2,028.20

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Solution

The fourth proportional to 3,706.84, 5,115.29 and 2,028.20 is: 2,798.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.84 : 5,115.29 = 2,028.20 : x
  2. Step 2: Convert to fraction form
    3,706.84/5,115.29 = 2,028.20/x
  3. Step 3: Cross multiply
    3,706.84x = 5,115.29 × 2,028.20
  4. Step 4: Simplify right side
    3,706.84x = 10,374,831.18
  5. Step 5: Solve for x
    x = 10,374,831.18/3,706.84
  6. Step 6: Final answer
    x = 2,798.83

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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.