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Finding the Fourth Proportional to 5,843.80, 8,770.36 and 3,072.10

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Solution

The fourth proportional to 5,843.80, 8,770.36 and 3,072.10 is: 4,610.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.80 : 8,770.36 = 3,072.10 : x
  2. Step 2: Convert to fraction form
    5,843.80/8,770.36 = 3,072.10/x
  3. Step 3: Cross multiply
    5,843.80x = 8,770.36 × 3,072.10
  4. Step 4: Simplify right side
    5,843.80x = 26,943,422.96
  5. Step 5: Solve for x
    x = 26,943,422.96/5,843.80
  6. Step 6: Final answer
    x = 4,610.60

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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.