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Finding the Fourth Proportional to 3,784.54, 5,679.71 and 1,935.50

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Solution

The fourth proportional to 3,784.54, 5,679.71 and 1,935.50 is: 2,904.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.54 : 5,679.71 = 1,935.50 : x
  2. Step 2: Convert to fraction form
    3,784.54/5,679.71 = 1,935.50/x
  3. Step 3: Cross multiply
    3,784.54x = 5,679.71 × 1,935.50
  4. Step 4: Simplify right side
    3,784.54x = 10,993,045.17
  5. Step 5: Solve for x
    x = 10,993,045.17/3,784.54
  6. Step 6: Final answer
    x = 2,904.73

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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.