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Finding the Fourth Proportional to 3,731.40, 5,597.91 and 1,998

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Solution

The fourth proportional to 3,731.40, 5,597.91 and 1,998 is: 2,997.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.40 : 5,597.91 = 1,998 : x
  2. Step 2: Convert to fraction form
    3,731.40/5,597.91 = 1,998/x
  3. Step 3: Cross multiply
    3,731.40x = 5,597.91 × 1,998
  4. Step 4: Simplify right side
    3,731.40x = 11,184,624.18
  5. Step 5: Solve for x
    x = 11,184,624.18/3,731.40
  6. Step 6: Final answer
    x = 2,997.43

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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.