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Finding the Fourth Proportional to 3,367.27, 5,050.51 and 902.30

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Solution

The fourth proportional to 3,367.27, 5,050.51 and 902.30 is: 1,353.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.27 : 5,050.51 = 902.30 : x
  2. Step 2: Convert to fraction form
    3,367.27/5,050.51 = 902.30/x
  3. Step 3: Cross multiply
    3,367.27x = 5,050.51 × 902.30
  4. Step 4: Simplify right side
    3,367.27x = 4,557,075.17
  5. Step 5: Solve for x
    x = 4,557,075.17/3,367.27
  6. Step 6: Final answer
    x = 1,353.34

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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.