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Finding the Fourth Proportional to 3,946, 5,919.05 and 1,024.13

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Solution

The fourth proportional to 3,946, 5,919.05 and 1,024.13 is: 1,536.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946 : 5,919.05 = 1,024.13 : x
  2. Step 2: Convert to fraction form
    3,946/5,919.05 = 1,024.13/x
  3. Step 3: Cross multiply
    3,946x = 5,919.05 × 1,024.13
  4. Step 4: Simplify right side
    3,946x = 6,061,876.68
  5. Step 5: Solve for x
    x = 6,061,876.68/3,946
  6. Step 6: Final answer
    x = 1,536.21

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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.