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Finding the Fourth Proportional to 6,258.27, 8,635.64 and 3,464.31

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Solution

The fourth proportional to 6,258.27, 8,635.64 and 3,464.31 is: 4,780.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258.27 : 8,635.64 = 3,464.31 : x
  2. Step 2: Convert to fraction form
    6,258.27/8,635.64 = 3,464.31/x
  3. Step 3: Cross multiply
    6,258.27x = 8,635.64 × 3,464.31
  4. Step 4: Simplify right side
    6,258.27x = 29,916,516.69
  5. Step 5: Solve for x
    x = 29,916,516.69/6,258.27
  6. Step 6: Final answer
    x = 4,780.32

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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.