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Finding the Fourth Proportional to 4,209.52, 5,808.86 and 2,321.12

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Solution

The fourth proportional to 4,209.52, 5,808.86 and 2,321.12 is: 3,202.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.52 : 5,808.86 = 2,321.12 : x
  2. Step 2: Convert to fraction form
    4,209.52/5,808.86 = 2,321.12/x
  3. Step 3: Cross multiply
    4,209.52x = 5,808.86 × 2,321.12
  4. Step 4: Simplify right side
    4,209.52x = 13,483,061.12
  5. Step 5: Solve for x
    x = 13,483,061.12/4,209.52
  6. Step 6: Final answer
    x = 3,202.99

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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.