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Finding the Fourth Proportional to 3,497.44, 5,246.88 and 1,189.12

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Solution

The fourth proportional to 3,497.44, 5,246.88 and 1,189.12 is: 1,783.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.44 : 5,246.88 = 1,189.12 : x
  2. Step 2: Convert to fraction form
    3,497.44/5,246.88 = 1,189.12/x
  3. Step 3: Cross multiply
    3,497.44x = 5,246.88 × 1,189.12
  4. Step 4: Simplify right side
    3,497.44x = 6,239,169.95
  5. Step 5: Solve for x
    x = 6,239,169.95/3,497.44
  6. Step 6: Final answer
    x = 1,783.92

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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.