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Finding the Fourth Proportional to 3,086.64, 4,258.83 and 1,827.29

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Solution

The fourth proportional to 3,086.64, 4,258.83 and 1,827.29 is: 2,521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.64 : 4,258.83 = 1,827.29 : x
  2. Step 2: Convert to fraction form
    3,086.64/4,258.83 = 1,827.29/x
  3. Step 3: Cross multiply
    3,086.64x = 4,258.83 × 1,827.29
  4. Step 4: Simplify right side
    3,086.64x = 7,782,124.69
  5. Step 5: Solve for x
    x = 7,782,124.69/3,086.64
  6. Step 6: Final answer
    x = 2,521.23

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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.