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Finding the Fourth Proportional to 3,497.54, 5,243.88 and 1,305.68

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Solution

The fourth proportional to 3,497.54, 5,243.88 and 1,305.68 is: 1,957.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.54 : 5,243.88 = 1,305.68 : x
  2. Step 2: Convert to fraction form
    3,497.54/5,243.88 = 1,305.68/x
  3. Step 3: Cross multiply
    3,497.54x = 5,243.88 × 1,305.68
  4. Step 4: Simplify right side
    3,497.54x = 6,846,829.24
  5. Step 5: Solve for x
    x = 6,846,829.24/3,497.54
  6. Step 6: Final answer
    x = 1,957.61

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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.