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Finding the Fourth Proportional to 3,946.52, 5,919.68 and 1,024.86

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Solution

The fourth proportional to 3,946.52, 5,919.68 and 1,024.86 is: 1,537.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.52 : 5,919.68 = 1,024.86 : x
  2. Step 2: Convert to fraction form
    3,946.52/5,919.68 = 1,024.86/x
  3. Step 3: Cross multiply
    3,946.52x = 5,919.68 × 1,024.86
  4. Step 4: Simplify right side
    3,946.52x = 6,066,843.24
  5. Step 5: Solve for x
    x = 6,066,843.24/3,946.52
  6. Step 6: Final answer
    x = 1,537.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.