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Finding the Fourth Proportional to 3,364.78, 5,046.57 and 1,024.22

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Solution

The fourth proportional to 3,364.78, 5,046.57 and 1,024.22 is: 1,536.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.78 : 5,046.57 = 1,024.22 : x
  2. Step 2: Convert to fraction form
    3,364.78/5,046.57 = 1,024.22/x
  3. Step 3: Cross multiply
    3,364.78x = 5,046.57 × 1,024.22
  4. Step 4: Simplify right side
    3,364.78x = 5,168,772.69
  5. Step 5: Solve for x
    x = 5,168,772.69/3,364.78
  6. Step 6: Final answer
    x = 1,536.14

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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.