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Finding the Fourth Proportional to 5,823.25, 8,026.72 and 3,934.24

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Solution

The fourth proportional to 5,823.25, 8,026.72 and 3,934.24 is: 5,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.25 : 8,026.72 = 3,934.24 : x
  2. Step 2: Convert to fraction form
    5,823.25/8,026.72 = 3,934.24/x
  3. Step 3: Cross multiply
    5,823.25x = 8,026.72 × 3,934.24
  4. Step 4: Simplify right side
    5,823.25x = 31,579,012.99
  5. Step 5: Solve for x
    x = 31,579,012.99/5,823.25
  6. Step 6: Final answer
    x = 5,422.92

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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.