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Finding the Fourth Proportional to 4,209.64, 5,809.11 and 2,321.23

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Solution

The fourth proportional to 4,209.64, 5,809.11 and 2,321.23 is: 3,203.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.64 : 5,809.11 = 2,321.23 : x
  2. Step 2: Convert to fraction form
    4,209.64/5,809.11 = 2,321.23/x
  3. Step 3: Cross multiply
    4,209.64x = 5,809.11 × 2,321.23
  4. Step 4: Simplify right side
    4,209.64x = 13,484,280.41
  5. Step 5: Solve for x
    x = 13,484,280.41/4,209.64
  6. Step 6: Final answer
    x = 3,203.19

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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.