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Finding the Fourth Proportional to 3,594.52, 5,392.56 and 1,286

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Solution

The fourth proportional to 3,594.52, 5,392.56 and 1,286 is: 1,929.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.52 : 5,392.56 = 1,286 : x
  2. Step 2: Convert to fraction form
    3,594.52/5,392.56 = 1,286/x
  3. Step 3: Cross multiply
    3,594.52x = 5,392.56 × 1,286
  4. Step 4: Simplify right side
    3,594.52x = 6,934,832.16
  5. Step 5: Solve for x
    x = 6,934,832.16/3,594.52
  6. Step 6: Final answer
    x = 1,929.28

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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.