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Finding the Fourth Proportional to 5,716.54, 7,884.59 and 4,036.20

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Solution

The fourth proportional to 5,716.54, 7,884.59 and 4,036.20 is: 5,566.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.54 : 7,884.59 = 4,036.20 : x
  2. Step 2: Convert to fraction form
    5,716.54/7,884.59 = 4,036.20/x
  3. Step 3: Cross multiply
    5,716.54x = 7,884.59 × 4,036.20
  4. Step 4: Simplify right side
    5,716.54x = 31,823,782.16
  5. Step 5: Solve for x
    x = 31,823,782.16/5,716.54
  6. Step 6: Final answer
    x = 5,566.97

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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.