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Finding the Fourth Proportional to 4,677.66, 7,016.42 and 2,706.25

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Solution

The fourth proportional to 4,677.66, 7,016.42 and 2,706.25 is: 4,059.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.66 : 7,016.42 = 2,706.25 : x
  2. Step 2: Convert to fraction form
    4,677.66/7,016.42 = 2,706.25/x
  3. Step 3: Cross multiply
    4,677.66x = 7,016.42 × 2,706.25
  4. Step 4: Simplify right side
    4,677.66x = 18,988,186.63
  5. Step 5: Solve for x
    x = 18,988,186.63/4,677.66
  6. Step 6: Final answer
    x = 4,059.33

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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.