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Finding the Fourth Proportional to 3,800.40, 5,244.45 and 2,228.46

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Solution

The fourth proportional to 3,800.40, 5,244.45 and 2,228.46 is: 3,075.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.40 : 5,244.45 = 2,228.46 : x
  2. Step 2: Convert to fraction form
    3,800.40/5,244.45 = 2,228.46/x
  3. Step 3: Cross multiply
    3,800.40x = 5,244.45 × 2,228.46
  4. Step 4: Simplify right side
    3,800.40x = 11,687,047.05
  5. Step 5: Solve for x
    x = 11,687,047.05/3,800.40
  6. Step 6: Final answer
    x = 3,075.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.