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Finding the Fourth Proportional to 5,534.66, 7,637.82 and 3,016.82

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Solution

The fourth proportional to 5,534.66, 7,637.82 and 3,016.82 is: 4,163.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,534.66 : 7,637.82 = 3,016.82 : x
  2. Step 2: Convert to fraction form
    5,534.66/7,637.82 = 3,016.82/x
  3. Step 3: Cross multiply
    5,534.66x = 7,637.82 × 3,016.82
  4. Step 4: Simplify right side
    5,534.66x = 23,041,928.13
  5. Step 5: Solve for x
    x = 23,041,928.13/5,534.66
  6. Step 6: Final answer
    x = 4,163.21

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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.