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Finding the Fourth Proportional to 3,402.01, 5,102.40 and 903.22

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Solution

The fourth proportional to 3,402.01, 5,102.40 and 903.22 is: 1,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.01 : 5,102.40 = 903.22 : x
  2. Step 2: Convert to fraction form
    3,402.01/5,102.40 = 903.22/x
  3. Step 3: Cross multiply
    3,402.01x = 5,102.40 × 903.22
  4. Step 4: Simplify right side
    3,402.01x = 4,608,589.73
  5. Step 5: Solve for x
    x = 4,608,589.73/3,402.01
  6. Step 6: Final answer
    x = 1,354.67

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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.