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Finding the Fourth Proportional to 4,654.12, 6,966.42 and 2,459.80

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Solution

The fourth proportional to 4,654.12, 6,966.42 and 2,459.80 is: 3,681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.12 : 6,966.42 = 2,459.80 : x
  2. Step 2: Convert to fraction form
    4,654.12/6,966.42 = 2,459.80/x
  3. Step 3: Cross multiply
    4,654.12x = 6,966.42 × 2,459.80
  4. Step 4: Simplify right side
    4,654.12x = 17,135,999.92
  5. Step 5: Solve for x
    x = 17,135,999.92/4,654.12
  6. Step 6: Final answer
    x = 3,681.90

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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.