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Finding the Fourth Proportional to 3,852.61, 5,776.49 and 1,660.21

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Solution

The fourth proportional to 3,852.61, 5,776.49 and 1,660.21 is: 2,489.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.61 : 5,776.49 = 1,660.21 : x
  2. Step 2: Convert to fraction form
    3,852.61/5,776.49 = 1,660.21/x
  3. Step 3: Cross multiply
    3,852.61x = 5,776.49 × 1,660.21
  4. Step 4: Simplify right side
    3,852.61x = 9,590,178.16
  5. Step 5: Solve for x
    x = 9,590,178.16/3,852.61
  6. Step 6: Final answer
    x = 2,489.27

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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.