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Finding the Fourth Proportional to 5,824.16, 8,029.95 and 3,934.46

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Solution

The fourth proportional to 5,824.16, 8,029.95 and 3,934.46 is: 5,424.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.16 : 8,029.95 = 3,934.46 : x
  2. Step 2: Convert to fraction form
    5,824.16/8,029.95 = 3,934.46/x
  3. Step 3: Cross multiply
    5,824.16x = 8,029.95 × 3,934.46
  4. Step 4: Simplify right side
    5,824.16x = 31,593,476.93
  5. Step 5: Solve for x
    x = 31,593,476.93/5,824.16
  6. Step 6: Final answer
    x = 5,424.55

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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.