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Finding the Fourth Proportional to 3,580.96, 5,362.26 and 2,121.16

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Solution

The fourth proportional to 3,580.96, 5,362.26 and 2,121.16 is: 3,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.96 : 5,362.26 = 2,121.16 : x
  2. Step 2: Convert to fraction form
    3,580.96/5,362.26 = 2,121.16/x
  3. Step 3: Cross multiply
    3,580.96x = 5,362.26 × 2,121.16
  4. Step 4: Simplify right side
    3,580.96x = 11,374,211.42
  5. Step 5: Solve for x
    x = 11,374,211.42/3,580.96
  6. Step 6: Final answer
    x = 3,176.30

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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.