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Finding the Fourth Proportional to 4,306.96, 5,944.16 and 2,628.01

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Solution

The fourth proportional to 4,306.96, 5,944.16 and 2,628.01 is: 3,626.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.96 : 5,944.16 = 2,628.01 : x
  2. Step 2: Convert to fraction form
    4,306.96/5,944.16 = 2,628.01/x
  3. Step 3: Cross multiply
    4,306.96x = 5,944.16 × 2,628.01
  4. Step 4: Simplify right side
    4,306.96x = 15,621,335.25
  5. Step 5: Solve for x
    x = 15,621,335.25/4,306.96
  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.