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Finding the Fourth Proportional to 4,209.71, 5,809.13 and 2,321.19

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Solution

The fourth proportional to 4,209.71, 5,809.13 and 2,321.19 is: 3,203.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.71 : 5,809.13 = 2,321.19 : x
  2. Step 2: Convert to fraction form
    4,209.71/5,809.13 = 2,321.19/x
  3. Step 3: Cross multiply
    4,209.71x = 5,809.13 × 2,321.19
  4. Step 4: Simplify right side
    4,209.71x = 13,484,094.46
  5. Step 5: Solve for x
    x = 13,484,094.46/4,209.71
  6. Step 6: Final answer
    x = 3,203.09

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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.