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Finding the Fourth Proportional to 5,546.97, 7,652.81 and 4,271.24

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Solution

The fourth proportional to 5,546.97, 7,652.81 and 4,271.24 is: 5,892.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.97 : 7,652.81 = 4,271.24 : x
  2. Step 2: Convert to fraction form
    5,546.97/7,652.81 = 4,271.24/x
  3. Step 3: Cross multiply
    5,546.97x = 7,652.81 × 4,271.24
  4. Step 4: Simplify right side
    5,546.97x = 32,686,966.83
  5. Step 5: Solve for x
    x = 32,686,966.83/5,546.97
  6. Step 6: Final answer
    x = 5,892.76

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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.