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Finding the Fourth Proportional to 4,654.82, 6,423.84 and 2,666

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Solution

The fourth proportional to 4,654.82, 6,423.84 and 2,666 is: 3,679.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.82 : 6,423.84 = 2,666 : x
  2. Step 2: Convert to fraction form
    4,654.82/6,423.84 = 2,666/x
  3. Step 3: Cross multiply
    4,654.82x = 6,423.84 × 2,666
  4. Step 4: Simplify right side
    4,654.82x = 17,125,957.44
  5. Step 5: Solve for x
    x = 17,125,957.44/4,654.82
  6. Step 6: Final answer
    x = 3,679.19

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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.