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Finding the Fourth Proportional to 3,402.87, 5,102.07 and 1,647.39

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Solution

The fourth proportional to 3,402.87, 5,102.07 and 1,647.39 is: 2,470.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.87 : 5,102.07 = 1,647.39 : x
  2. Step 2: Convert to fraction form
    3,402.87/5,102.07 = 1,647.39/x
  3. Step 3: Cross multiply
    3,402.87x = 5,102.07 × 1,647.39
  4. Step 4: Simplify right side
    3,402.87x = 8,405,099.10
  5. Step 5: Solve for x
    x = 8,405,099.10/3,402.87
  6. Step 6: Final answer
    x = 2,470.00

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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.