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Finding the Fourth Proportional to 3,846.90, 5,770.35 and 2,610.30

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Solution

The fourth proportional to 3,846.90, 5,770.35 and 2,610.30 is: 3,915.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.90 : 5,770.35 = 2,610.30 : x
  2. Step 2: Convert to fraction form
    3,846.90/5,770.35 = 2,610.30/x
  3. Step 3: Cross multiply
    3,846.90x = 5,770.35 × 2,610.30
  4. Step 4: Simplify right side
    3,846.90x = 15,062,344.61
  5. Step 5: Solve for x
    x = 15,062,344.61/3,846.90
  6. Step 6: Final answer
    x = 3,915.45

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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.