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Finding the Fourth Proportional to 4,767.24, 7,152.11 and 1,805.71

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Solution

The fourth proportional to 4,767.24, 7,152.11 and 1,805.71 is: 2,709.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.24 : 7,152.11 = 1,805.71 : x
  2. Step 2: Convert to fraction form
    4,767.24/7,152.11 = 1,805.71/x
  3. Step 3: Cross multiply
    4,767.24x = 7,152.11 × 1,805.71
  4. Step 4: Simplify right side
    4,767.24x = 12,914,618.67
  5. Step 5: Solve for x
    x = 12,914,618.67/4,767.24
  6. Step 6: Final answer
    x = 2,709.03

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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.