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Finding the Fourth Proportional to 4,805.75, 7,209.59 and 2,032.40

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Solution

The fourth proportional to 4,805.75, 7,209.59 and 2,032.40 is: 3,049.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.75 : 7,209.59 = 2,032.40 : x
  2. Step 2: Convert to fraction form
    4,805.75/7,209.59 = 2,032.40/x
  3. Step 3: Cross multiply
    4,805.75x = 7,209.59 × 2,032.40
  4. Step 4: Simplify right side
    4,805.75x = 14,652,778.58
  5. Step 5: Solve for x
    x = 14,652,778.58/4,805.75
  6. Step 6: Final answer
    x = 3,049.01

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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.