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Finding the Fourth Proportional to 3,864.16, 5,800.02 and 2,770.48

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Solution

The fourth proportional to 3,864.16, 5,800.02 and 2,770.48 is: 4,158.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.16 : 5,800.02 = 2,770.48 : x
  2. Step 2: Convert to fraction form
    3,864.16/5,800.02 = 2,770.48/x
  3. Step 3: Cross multiply
    3,864.16x = 5,800.02 × 2,770.48
  4. Step 4: Simplify right side
    3,864.16x = 16,068,839.41
  5. Step 5: Solve for x
    x = 16,068,839.41/3,864.16
  6. Step 6: Final answer
    x = 4,158.43

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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.