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Finding the Fourth Proportional to 3,728.49, 5,590 and 1,972.07

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Solution

The fourth proportional to 3,728.49, 5,590 and 1,972.07 is: 2,956.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.49 : 5,590 = 1,972.07 : x
  2. Step 2: Convert to fraction form
    3,728.49/5,590 = 1,972.07/x
  3. Step 3: Cross multiply
    3,728.49x = 5,590 × 1,972.07
  4. Step 4: Simplify right side
    3,728.49x = 11,023,871.30
  5. Step 5: Solve for x
    x = 11,023,871.30/3,728.49
  6. Step 6: Final answer
    x = 2,956.66

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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.