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Finding the Fourth Proportional to 3,472.12, 5,208.86 and 1,497.75

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Solution

The fourth proportional to 3,472.12, 5,208.86 and 1,497.75 is: 2,246.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.12 : 5,208.86 = 1,497.75 : x
  2. Step 2: Convert to fraction form
    3,472.12/5,208.86 = 1,497.75/x
  3. Step 3: Cross multiply
    3,472.12x = 5,208.86 × 1,497.75
  4. Step 4: Simplify right side
    3,472.12x = 7,801,570.07
  5. Step 5: Solve for x
    x = 7,801,570.07/3,472.12
  6. Step 6: Final answer
    x = 2,246.92

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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.