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Finding the Fourth Proportional to 4,677.80, 7,017.42 and 2,213.96

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Solution

The fourth proportional to 4,677.80, 7,017.42 and 2,213.96 is: 3,321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.80 : 7,017.42 = 2,213.96 : x
  2. Step 2: Convert to fraction form
    4,677.80/7,017.42 = 2,213.96/x
  3. Step 3: Cross multiply
    4,677.80x = 7,017.42 × 2,213.96
  4. Step 4: Simplify right side
    4,677.80x = 15,536,287.18
  5. Step 5: Solve for x
    x = 15,536,287.18/4,677.80
  6. Step 6: Final answer
    x = 3,321.28

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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.