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Finding the Fourth Proportional to 3,647.94, 5,035.68 and 2,470.62

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Solution

The fourth proportional to 3,647.94, 5,035.68 and 2,470.62 is: 3,410.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.94 : 5,035.68 = 2,470.62 : x
  2. Step 2: Convert to fraction form
    3,647.94/5,035.68 = 2,470.62/x
  3. Step 3: Cross multiply
    3,647.94x = 5,035.68 × 2,470.62
  4. Step 4: Simplify right side
    3,647.94x = 12,441,251.72
  5. Step 5: Solve for x
    x = 12,441,251.72/3,647.94
  6. Step 6: Final answer
    x = 3,410.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.