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Finding the Fourth Proportional to 4,664, 6,998.16 and 2,473.76

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Solution

The fourth proportional to 4,664, 6,998.16 and 2,473.76 is: 3,711.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664 : 6,998.16 = 2,473.76 : x
  2. Step 2: Convert to fraction form
    4,664/6,998.16 = 2,473.76/x
  3. Step 3: Cross multiply
    4,664x = 6,998.16 × 2,473.76
  4. Step 4: Simplify right side
    4,664x = 17,311,768.28
  5. Step 5: Solve for x
    x = 17,311,768.28/4,664
  6. Step 6: Final answer
    x = 3,711.79

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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.