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Finding the Fourth Proportional to 5,716.17, 7,883.95 and 4,920.80

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Solution

The fourth proportional to 5,716.17, 7,883.95 and 4,920.80 is: 6,786.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.17 : 7,883.95 = 4,920.80 : x
  2. Step 2: Convert to fraction form
    5,716.17/7,883.95 = 4,920.80/x
  3. Step 3: Cross multiply
    5,716.17x = 7,883.95 × 4,920.80
  4. Step 4: Simplify right side
    5,716.17x = 38,795,341.16
  5. Step 5: Solve for x
    x = 38,795,341.16/5,716.17
  6. Step 6: Final answer
    x = 6,786.95

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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.