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Finding the Fourth Proportional to 5,964.66, 8,947.02 and 2,068.14

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Solution

The fourth proportional to 5,964.66, 8,947.02 and 2,068.14 is: 3,102.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.66 : 8,947.02 = 2,068.14 : x
  2. Step 2: Convert to fraction form
    5,964.66/8,947.02 = 2,068.14/x
  3. Step 3: Cross multiply
    5,964.66x = 8,947.02 × 2,068.14
  4. Step 4: Simplify right side
    5,964.66x = 18,503,689.94
  5. Step 5: Solve for x
    x = 18,503,689.94/5,964.66
  6. Step 6: Final answer
    x = 3,102.22

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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.