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Finding the Fourth Proportional to 6,072.80, 9,101.10 and 2,606

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Solution

The fourth proportional to 6,072.80, 9,101.10 and 2,606 is: 3,905.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.80 : 9,101.10 = 2,606 : x
  2. Step 2: Convert to fraction form
    6,072.80/9,101.10 = 2,606/x
  3. Step 3: Cross multiply
    6,072.80x = 9,101.10 × 2,606
  4. Step 4: Simplify right side
    6,072.80x = 23,717,466.60
  5. Step 5: Solve for x
    x = 23,717,466.60/6,072.80
  6. Step 6: Final answer
    x = 3,905.52

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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.