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Finding the Fourth Proportional to 4,813.07, 6,642.51 and 2,823.56

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Solution

The fourth proportional to 4,813.07, 6,642.51 and 2,823.56 is: 3,896.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.07 : 6,642.51 = 2,823.56 : x
  2. Step 2: Convert to fraction form
    4,813.07/6,642.51 = 2,823.56/x
  3. Step 3: Cross multiply
    4,813.07x = 6,642.51 × 2,823.56
  4. Step 4: Simplify right side
    4,813.07x = 18,755,506.64
  5. Step 5: Solve for x
    x = 18,755,506.64/4,813.07
  6. Step 6: Final answer
    x = 3,896.79

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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.