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Finding the Fourth Proportional to 3,666.54, 5,497.36 and 1,200.48

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Solution

The fourth proportional to 3,666.54, 5,497.36 and 1,200.48 is: 1,799.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.54 : 5,497.36 = 1,200.48 : x
  2. Step 2: Convert to fraction form
    3,666.54/5,497.36 = 1,200.48/x
  3. Step 3: Cross multiply
    3,666.54x = 5,497.36 × 1,200.48
  4. Step 4: Simplify right side
    3,666.54x = 6,599,470.73
  5. Step 5: Solve for x
    x = 6,599,470.73/3,666.54
  6. Step 6: Final answer
    x = 1,799.92

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1.5x scale

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.