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Finding the Fourth Proportional to 4,258.71, 5,863.39 and 4,165.76

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Solution

The fourth proportional to 4,258.71, 5,863.39 and 4,165.76 is: 5,735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.71 : 5,863.39 = 4,165.76 : x
  2. Step 2: Convert to fraction form
    4,258.71/5,863.39 = 4,165.76/x
  3. Step 3: Cross multiply
    4,258.71x = 5,863.39 × 4,165.76
  4. Step 4: Simplify right side
    4,258.71x = 24,425,479.77
  5. Step 5: Solve for x
    x = 24,425,479.77/4,258.71
  6. Step 6: Final answer
    x = 5,735.42

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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.