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Finding the Fourth Proportional to 4,165.64, 6,249.44 and 2,086.52

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Solution

The fourth proportional to 4,165.64, 6,249.44 and 2,086.52 is: 3,130.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.64 : 6,249.44 = 2,086.52 : x
  2. Step 2: Convert to fraction form
    4,165.64/6,249.44 = 2,086.52/x
  3. Step 3: Cross multiply
    4,165.64x = 6,249.44 × 2,086.52
  4. Step 4: Simplify right side
    4,165.64x = 13,039,581.55
  5. Step 5: Solve for x
    x = 13,039,581.55/4,165.64
  6. Step 6: Final answer
    x = 3,130.27

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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.