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Finding the Fourth Proportional to 3,838.80, 5,754.83 and 2,602.20

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Solution

The fourth proportional to 3,838.80, 5,754.83 and 2,602.20 is: 3,901.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.80 : 5,754.83 = 2,602.20 : x
  2. Step 2: Convert to fraction form
    3,838.80/5,754.83 = 2,602.20/x
  3. Step 3: Cross multiply
    3,838.80x = 5,754.83 × 2,602.20
  4. Step 4: Simplify right side
    3,838.80x = 14,975,205.62
  5. Step 5: Solve for x
    x = 14,975,205.62/3,838.80
  6. Step 6: Final answer
    x = 3,901.01

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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.