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Finding the Fourth Proportional to 3,322.64, 4,582.85 and 3,086.12

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Solution

The fourth proportional to 3,322.64, 4,582.85 and 3,086.12 is: 4,256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.64 : 4,582.85 = 3,086.12 : x
  2. Step 2: Convert to fraction form
    3,322.64/4,582.85 = 3,086.12/x
  3. Step 3: Cross multiply
    3,322.64x = 4,582.85 × 3,086.12
  4. Step 4: Simplify right side
    3,322.64x = 14,143,221.07
  5. Step 5: Solve for x
    x = 14,143,221.07/3,322.64
  6. Step 6: Final answer
    x = 4,256.62

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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.