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Finding the Fourth Proportional to 3,949.04, 5,923.55 and 987.48

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Solution

The fourth proportional to 3,949.04, 5,923.55 and 987.48 is: 1,481.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.04 : 5,923.55 = 987.48 : x
  2. Step 2: Convert to fraction form
    3,949.04/5,923.55 = 987.48/x
  3. Step 3: Cross multiply
    3,949.04x = 5,923.55 × 987.48
  4. Step 4: Simplify right side
    3,949.04x = 5,849,389.62
  5. Step 5: Solve for x
    x = 5,849,389.62/3,949.04
  6. Step 6: Final answer
    x = 1,481.22

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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.