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Finding the Fourth Proportional to 5,690.99, 7,856.84 and 3,805.79

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Solution

The fourth proportional to 5,690.99, 7,856.84 and 3,805.79 is: 5,254.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.99 : 7,856.84 = 3,805.79 : x
  2. Step 2: Convert to fraction form
    5,690.99/7,856.84 = 3,805.79/x
  3. Step 3: Cross multiply
    5,690.99x = 7,856.84 × 3,805.79
  4. Step 4: Simplify right side
    5,690.99x = 29,901,453.33
  5. Step 5: Solve for x
    x = 29,901,453.33/5,690.99
  6. Step 6: Final answer
    x = 5,254.17

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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.