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Finding the Fourth Proportional to 3,698.68, 5,549.12 and 1,966

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Solution

The fourth proportional to 3,698.68, 5,549.12 and 1,966 is: 2,949.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.68 : 5,549.12 = 1,966 : x
  2. Step 2: Convert to fraction form
    3,698.68/5,549.12 = 1,966/x
  3. Step 3: Cross multiply
    3,698.68x = 5,549.12 × 1,966
  4. Step 4: Simplify right side
    3,698.68x = 10,909,569.92
  5. Step 5: Solve for x
    x = 10,909,569.92/3,698.68
  6. Step 6: Final answer
    x = 2,949.58

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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.