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Finding the Fourth Proportional to 4,654.80, 6,424.73 and 2,666.49

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Solution

The fourth proportional to 4,654.80, 6,424.73 and 2,666.49 is: 3,680.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.80 : 6,424.73 = 2,666.49 : x
  2. Step 2: Convert to fraction form
    4,654.80/6,424.73 = 2,666.49/x
  3. Step 3: Cross multiply
    4,654.80x = 6,424.73 × 2,666.49
  4. Step 4: Simplify right side
    4,654.80x = 17,131,464.97
  5. Step 5: Solve for x
    x = 17,131,464.97/4,654.80
  6. Step 6: Final answer
    x = 3,680.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.