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Finding the Fourth Proportional to 5,337.54, 8,006.31 and 3,402.05

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Solution

The fourth proportional to 5,337.54, 8,006.31 and 3,402.05 is: 5,103.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.54 : 8,006.31 = 3,402.05 : x
  2. Step 2: Convert to fraction form
    5,337.54/8,006.31 = 3,402.05/x
  3. Step 3: Cross multiply
    5,337.54x = 8,006.31 × 3,402.05
  4. Step 4: Simplify right side
    5,337.54x = 27,237,826.90
  5. Step 5: Solve for x
    x = 27,237,826.90/5,337.54
  6. Step 6: Final answer
    x = 5,103.07

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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.