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Finding the Fourth Proportional to 3,656.57, 5,486.06 and 2,428.81

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Solution

The fourth proportional to 3,656.57, 5,486.06 and 2,428.81 is: 3,644.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.57 : 5,486.06 = 2,428.81 : x
  2. Step 2: Convert to fraction form
    3,656.57/5,486.06 = 2,428.81/x
  3. Step 3: Cross multiply
    3,656.57x = 5,486.06 × 2,428.81
  4. Step 4: Simplify right side
    3,656.57x = 13,324,589.75
  5. Step 5: Solve for x
    x = 13,324,589.75/3,656.57
  6. Step 6: Final answer
    x = 3,644.02

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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.