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Finding the Fourth Proportional to 3,753.61, 5,624.47 and 1,998.14

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Solution

The fourth proportional to 3,753.61, 5,624.47 and 1,998.14 is: 2,994.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.61 : 5,624.47 = 1,998.14 : x
  2. Step 2: Convert to fraction form
    3,753.61/5,624.47 = 1,998.14/x
  3. Step 3: Cross multiply
    3,753.61x = 5,624.47 × 1,998.14
  4. Step 4: Simplify right side
    3,753.61x = 11,238,478.49
  5. Step 5: Solve for x
    x = 11,238,478.49/3,753.61
  6. Step 6: Final answer
    x = 2,994.05

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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.