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Finding the Fourth Proportional to 3,789.61, 5,685.78 and 1,941.60

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Solution

The fourth proportional to 3,789.61, 5,685.78 and 1,941.60 is: 2,913.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.61 : 5,685.78 = 1,941.60 : x
  2. Step 2: Convert to fraction form
    3,789.61/5,685.78 = 1,941.60/x
  3. Step 3: Cross multiply
    3,789.61x = 5,685.78 × 1,941.60
  4. Step 4: Simplify right side
    3,789.61x = 11,039,510.45
  5. Step 5: Solve for x
    x = 11,039,510.45/3,789.61
  6. Step 6: Final answer
    x = 2,913.10

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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.