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Finding the Fourth Proportional to 3,522.57, 5,278.64 and 1,440.06

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Solution

The fourth proportional to 3,522.57, 5,278.64 and 1,440.06 is: 2,157.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.57 : 5,278.64 = 1,440.06 : x
  2. Step 2: Convert to fraction form
    3,522.57/5,278.64 = 1,440.06/x
  3. Step 3: Cross multiply
    3,522.57x = 5,278.64 × 1,440.06
  4. Step 4: Simplify right side
    3,522.57x = 7,601,558.32
  5. Step 5: Solve for x
    x = 7,601,558.32/3,522.57
  6. Step 6: Final answer
    x = 2,157.96

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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.