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Finding the Fourth Proportional to 3,497.75, 5,247.44 and 1,189.25

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Solution

The fourth proportional to 3,497.75, 5,247.44 and 1,189.25 is: 1,784.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.75 : 5,247.44 = 1,189.25 : x
  2. Step 2: Convert to fraction form
    3,497.75/5,247.44 = 1,189.25/x
  3. Step 3: Cross multiply
    3,497.75x = 5,247.44 × 1,189.25
  4. Step 4: Simplify right side
    3,497.75x = 6,240,518.02
  5. Step 5: Solve for x
    x = 6,240,518.02/3,497.75
  6. Step 6: Final answer
    x = 1,784.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.