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Finding the Fourth Proportional to 5,977.08, 8,255.28 and 3,984.16

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Solution

The fourth proportional to 5,977.08, 8,255.28 and 3,984.16 is: 5,502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.08 : 8,255.28 = 3,984.16 : x
  2. Step 2: Convert to fraction form
    5,977.08/8,255.28 = 3,984.16/x
  3. Step 3: Cross multiply
    5,977.08x = 8,255.28 × 3,984.16
  4. Step 4: Simplify right side
    5,977.08x = 32,890,356.36
  5. Step 5: Solve for x
    x = 32,890,356.36/5,977.08
  6. Step 6: Final answer
    x = 5,502.75

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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.