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Finding the Fourth Proportional to 5,542.94, 8,303.16 and 3,196.16

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Solution

The fourth proportional to 5,542.94, 8,303.16 and 3,196.16 is: 4,787.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.94 : 8,303.16 = 3,196.16 : x
  2. Step 2: Convert to fraction form
    5,542.94/8,303.16 = 3,196.16/x
  3. Step 3: Cross multiply
    5,542.94x = 8,303.16 × 3,196.16
  4. Step 4: Simplify right side
    5,542.94x = 26,538,227.87
  5. Step 5: Solve for x
    x = 26,538,227.87/5,542.94
  6. Step 6: Final answer
    x = 4,787.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.