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Finding the Fourth Proportional to 3,666.52, 5,497.26 and 1,200.52

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Solution

The fourth proportional to 3,666.52, 5,497.26 and 1,200.52 is: 1,799.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.52 : 5,497.26 = 1,200.52 : x
  2. Step 2: Convert to fraction form
    3,666.52/5,497.26 = 1,200.52/x
  3. Step 3: Cross multiply
    3,666.52x = 5,497.26 × 1,200.52
  4. Step 4: Simplify right side
    3,666.52x = 6,599,570.58
  5. Step 5: Solve for x
    x = 6,599,570.58/3,666.52
  6. Step 6: Final answer
    x = 1,799.95

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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.