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Finding the Fourth Proportional to 4,062.64, 6,094.17 and 1,141.17

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Solution

The fourth proportional to 4,062.64, 6,094.17 and 1,141.17 is: 1,711.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,062.64 : 6,094.17 = 1,141.17 : x
  2. Step 2: Convert to fraction form
    4,062.64/6,094.17 = 1,141.17/x
  3. Step 3: Cross multiply
    4,062.64x = 6,094.17 × 1,141.17
  4. Step 4: Simplify right side
    4,062.64x = 6,954,483.98
  5. Step 5: Solve for x
    x = 6,954,483.98/4,062.64
  6. Step 6: Final answer
    x = 1,711.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.