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Finding the Fourth Proportional to 4,209.53, 5,809.10 and 2,321.01

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Solution

The fourth proportional to 4,209.53, 5,809.10 and 2,321.01 is: 3,202.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.53 : 5,809.10 = 2,321.01 : x
  2. Step 2: Convert to fraction form
    4,209.53/5,809.10 = 2,321.01/x
  3. Step 3: Cross multiply
    4,209.53x = 5,809.10 × 2,321.01
  4. Step 4: Simplify right side
    4,209.53x = 13,482,967.59
  5. Step 5: Solve for x
    x = 13,482,967.59/4,209.53
  6. Step 6: Final answer
    x = 3,202.97

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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.