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Finding the Fourth Proportional to 4,509.82, 6,227.51 and 2,834.13

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Solution

The fourth proportional to 4,509.82, 6,227.51 and 2,834.13 is: 3,913.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.82 : 6,227.51 = 2,834.13 : x
  2. Step 2: Convert to fraction form
    4,509.82/6,227.51 = 2,834.13/x
  3. Step 3: Cross multiply
    4,509.82x = 6,227.51 × 2,834.13
  4. Step 4: Simplify right side
    4,509.82x = 17,649,572.92
  5. Step 5: Solve for x
    x = 17,649,572.92/4,509.82
  6. Step 6: Final answer
    x = 3,913.59

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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.