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Finding the Fourth Proportional to 3,919.06, 5,878.56 and 997.34

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Solution

The fourth proportional to 3,919.06, 5,878.56 and 997.34 is: 1,496.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.06 : 5,878.56 = 997.34 : x
  2. Step 2: Convert to fraction form
    3,919.06/5,878.56 = 997.34/x
  3. Step 3: Cross multiply
    3,919.06x = 5,878.56 × 997.34
  4. Step 4: Simplify right side
    3,919.06x = 5,862,923.03
  5. Step 5: Solve for x
    x = 5,862,923.03/3,919.06
  6. Step 6: Final answer
    x = 1,496.00

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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.