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Finding the Fourth Proportional to 5,585.66, 7,707.86 and 3,067.28

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Solution

The fourth proportional to 5,585.66, 7,707.86 and 3,067.28 is: 4,232.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.66 : 7,707.86 = 3,067.28 : x
  2. Step 2: Convert to fraction form
    5,585.66/7,707.86 = 3,067.28/x
  3. Step 3: Cross multiply
    5,585.66x = 7,707.86 × 3,067.28
  4. Step 4: Simplify right side
    5,585.66x = 23,642,164.82
  5. Step 5: Solve for x
    x = 23,642,164.82/5,585.66
  6. Step 6: Final answer
    x = 4,232.65

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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.