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Finding the Fourth Proportional to 3,869.60, 5,340.56 and 2,628

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Solution

The fourth proportional to 3,869.60, 5,340.56 and 2,628 is: 3,626.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.60 : 5,340.56 = 2,628 : x
  2. Step 2: Convert to fraction form
    3,869.60/5,340.56 = 2,628/x
  3. Step 3: Cross multiply
    3,869.60x = 5,340.56 × 2,628
  4. Step 4: Simplify right side
    3,869.60x = 14,034,991.68
  5. Step 5: Solve for x
    x = 14,034,991.68/3,869.60
  6. Step 6: Final answer
    x = 3,626.99

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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.