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Finding the Fourth Proportional to 4,677.66, 7,016.40 and 2,213.64

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Solution

The fourth proportional to 4,677.66, 7,016.40 and 2,213.64 is: 3,320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.66 : 7,016.40 = 2,213.64 : x
  2. Step 2: Convert to fraction form
    4,677.66/7,016.40 = 2,213.64/x
  3. Step 3: Cross multiply
    4,677.66x = 7,016.40 × 2,213.64
  4. Step 4: Simplify right side
    4,677.66x = 15,531,783.70
  5. Step 5: Solve for x
    x = 15,531,783.70/4,677.66
  6. Step 6: Final answer
    x = 3,320.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.