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Finding the Fourth Proportional to 3,367.37, 5,051.31 and 902.13

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Solution

The fourth proportional to 3,367.37, 5,051.31 and 902.13 is: 1,353.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.37 : 5,051.31 = 902.13 : x
  2. Step 2: Convert to fraction form
    3,367.37/5,051.31 = 902.13/x
  3. Step 3: Cross multiply
    3,367.37x = 5,051.31 × 902.13
  4. Step 4: Simplify right side
    3,367.37x = 4,556,938.29
  5. Step 5: Solve for x
    x = 4,556,938.29/3,367.37
  6. Step 6: Final answer
    x = 1,353.27

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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.