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Finding the Fourth Proportional to 4,062.74, 6,094.10 and 1,141.27

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Solution

The fourth proportional to 4,062.74, 6,094.10 and 1,141.27 is: 1,711.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,062.74 : 6,094.10 = 1,141.27 : x
  2. Step 2: Convert to fraction form
    4,062.74/6,094.10 = 1,141.27/x
  3. Step 3: Cross multiply
    4,062.74x = 6,094.10 × 1,141.27
  4. Step 4: Simplify right side
    4,062.74x = 6,955,013.51
  5. Step 5: Solve for x
    x = 6,955,013.51/4,062.74
  6. Step 6: Final answer
    x = 1,711.90

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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.