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Finding the Fourth Proportional to 4,654.14, 6,981.11 and 2,805.69

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Solution

The fourth proportional to 4,654.14, 6,981.11 and 2,805.69 is: 4,208.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.14 : 6,981.11 = 2,805.69 : x
  2. Step 2: Convert to fraction form
    4,654.14/6,981.11 = 2,805.69/x
  3. Step 3: Cross multiply
    4,654.14x = 6,981.11 × 2,805.69
  4. Step 4: Simplify right side
    4,654.14x = 19,586,816.49
  5. Step 5: Solve for x
    x = 19,586,816.49/4,654.14
  6. Step 6: Final answer
    x = 4,208.47

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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.