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Finding the Fourth Proportional to 3,744.94, 5,618.00 and 1,665.67

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Solution

The fourth proportional to 3,744.94, 5,618.00 and 1,665.67 is: 2,498.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.94 : 5,618.00 = 1,665.67 : x
  2. Step 2: Convert to fraction form
    3,744.94/5,618.00 = 1,665.67/x
  3. Step 3: Cross multiply
    3,744.94x = 5,618.00 × 1,665.67
  4. Step 4: Simplify right side
    3,744.94x = 9,357,725.73
  5. Step 5: Solve for x
    x = 9,357,725.73/3,744.94
  6. Step 6: Final answer
    x = 2,498.77

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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.