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Finding the Fourth Proportional to 5,963.60, 8,945.39 and 2,068

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Solution

The fourth proportional to 5,963.60, 8,945.39 and 2,068 is: 3,102.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.60 : 8,945.39 = 2,068 : x
  2. Step 2: Convert to fraction form
    5,963.60/8,945.39 = 2,068/x
  3. Step 3: Cross multiply
    5,963.60x = 8,945.39 × 2,068
  4. Step 4: Simplify right side
    5,963.60x = 18,499,066.52
  5. Step 5: Solve for x
    x = 18,499,066.52/5,963.60
  6. Step 6: Final answer
    x = 3,102.00

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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.