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Finding the Fourth Proportional to 3,601.62, 4,970.36 and 2,109.68

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Solution

The fourth proportional to 3,601.62, 4,970.36 and 2,109.68 is: 2,911.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.62 : 4,970.36 = 2,109.68 : x
  2. Step 2: Convert to fraction form
    3,601.62/4,970.36 = 2,109.68/x
  3. Step 3: Cross multiply
    3,601.62x = 4,970.36 × 2,109.68
  4. Step 4: Simplify right side
    3,601.62x = 10,485,869.08
  5. Step 5: Solve for x
    x = 10,485,869.08/3,601.62
  6. Step 6: Final answer
    x = 2,911.43

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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.