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Finding the Fourth Proportional to 5,427.66, 7,471.14 and 4,727.82

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Solution

The fourth proportional to 5,427.66, 7,471.14 and 4,727.82 is: 6,507.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427.66 : 7,471.14 = 4,727.82 : x
  2. Step 2: Convert to fraction form
    5,427.66/7,471.14 = 4,727.82/x
  3. Step 3: Cross multiply
    5,427.66x = 7,471.14 × 4,727.82
  4. Step 4: Simplify right side
    5,427.66x = 35,322,205.11
  5. Step 5: Solve for x
    x = 35,322,205.11/5,427.66
  6. Step 6: Final answer
    x = 6,507.81

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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.