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Finding the Fourth Proportional to 3,209.92, 4,810.56 and 2,340.16

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Solution

The fourth proportional to 3,209.92, 4,810.56 and 2,340.16 is: 3,507.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.92 : 4,810.56 = 2,340.16 : x
  2. Step 2: Convert to fraction form
    3,209.92/4,810.56 = 2,340.16/x
  3. Step 3: Cross multiply
    3,209.92x = 4,810.56 × 2,340.16
  4. Step 4: Simplify right side
    3,209.92x = 11,257,480.09
  5. Step 5: Solve for x
    x = 11,257,480.09/3,209.92
  6. Step 6: Final answer
    x = 3,507.09

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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.