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Finding the Fourth Proportional to 3,542.64, 5,284.06 and 3,076.75

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Solution

The fourth proportional to 3,542.64, 5,284.06 and 3,076.75 is: 4,589.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.64 : 5,284.06 = 3,076.75 : x
  2. Step 2: Convert to fraction form
    3,542.64/5,284.06 = 3,076.75/x
  3. Step 3: Cross multiply
    3,542.64x = 5,284.06 × 3,076.75
  4. Step 4: Simplify right side
    3,542.64x = 16,257,747.82
  5. Step 5: Solve for x
    x = 16,257,747.82/3,542.64
  6. Step 6: Final answer
    x = 4,589.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.