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Finding the Fourth Proportional to 3,209.45, 4,429.02 and 1,812.47

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Solution

The fourth proportional to 3,209.45, 4,429.02 and 1,812.47 is: 2,501.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.45 : 4,429.02 = 1,812.47 : x
  2. Step 2: Convert to fraction form
    3,209.45/4,429.02 = 1,812.47/x
  3. Step 3: Cross multiply
    3,209.45x = 4,429.02 × 1,812.47
  4. Step 4: Simplify right side
    3,209.45x = 8,027,443.73
  5. Step 5: Solve for x
    x = 8,027,443.73/3,209.45
  6. Step 6: Final answer
    x = 2,501.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.