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Finding the Fourth Proportional to 3,727.84, 5,151.54 and 3,097.72

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Solution

The fourth proportional to 3,727.84, 5,151.54 and 3,097.72 is: 4,280.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.84 : 5,151.54 = 3,097.72 : x
  2. Step 2: Convert to fraction form
    3,727.84/5,151.54 = 3,097.72/x
  3. Step 3: Cross multiply
    3,727.84x = 5,151.54 × 3,097.72
  4. Step 4: Simplify right side
    3,727.84x = 15,958,028.49
  5. Step 5: Solve for x
    x = 15,958,028.49/3,727.84
  6. Step 6: Final answer
    x = 4,280.77

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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.