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Finding the Fourth Proportional to 3,209.00, 4,427.97 and 1,792.50

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Solution

The fourth proportional to 3,209.00, 4,427.97 and 1,792.50 is: 2,473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.00 : 4,427.97 = 1,792.50 : x
  2. Step 2: Convert to fraction form
    3,209.00/4,427.97 = 1,792.50/x
  3. Step 3: Cross multiply
    3,209.00x = 4,427.97 × 1,792.50
  4. Step 4: Simplify right side
    3,209.00x = 7,937,151.25
  5. Step 5: Solve for x
    x = 7,937,151.25/3,209.00
  6. Step 6: Final answer
    x = 2,473.41

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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.