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Finding the Fourth Proportional to 3,867.52, 5,800.54 and 1,093.52

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Solution

The fourth proportional to 3,867.52, 5,800.54 and 1,093.52 is: 1,640.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.52 : 5,800.54 = 1,093.52 : x
  2. Step 2: Convert to fraction form
    3,867.52/5,800.54 = 1,093.52/x
  3. Step 3: Cross multiply
    3,867.52x = 5,800.54 × 1,093.52
  4. Step 4: Simplify right side
    3,867.52x = 6,343,011.49
  5. Step 5: Solve for x
    x = 6,343,011.49/3,867.52
  6. Step 6: Final answer
    x = 1,640.07

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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.