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Finding the Fourth Proportional to 4,102.66, 6,153.87 and 1,141.09

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Solution

The fourth proportional to 4,102.66, 6,153.87 and 1,141.09 is: 1,711.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.66 : 6,153.87 = 1,141.09 : x
  2. Step 2: Convert to fraction form
    4,102.66/6,153.87 = 1,141.09/x
  3. Step 3: Cross multiply
    4,102.66x = 6,153.87 × 1,141.09
  4. Step 4: Simplify right side
    4,102.66x = 7,022,119.52
  5. Step 5: Solve for x
    x = 7,022,119.52/4,102.66
  6. Step 6: Final answer
    x = 1,711.60

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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.