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Finding the Fourth Proportional to 5,966.82, 8,239.19 and 4,977.28

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Solution

The fourth proportional to 5,966.82, 8,239.19 and 4,977.28 is: 6,872.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.82 : 8,239.19 = 4,977.28 : x
  2. Step 2: Convert to fraction form
    5,966.82/8,239.19 = 4,977.28/x
  3. Step 3: Cross multiply
    5,966.82x = 8,239.19 × 4,977.28
  4. Step 4: Simplify right side
    5,966.82x = 41,008,784.46
  5. Step 5: Solve for x
    x = 41,008,784.46/5,966.82
  6. Step 6: Final answer
    x = 6,872.81

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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.