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Finding the Fourth Proportional to 6,258.72, 8,637.12 and 3,742.68

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Solution

The fourth proportional to 6,258.72, 8,637.12 and 3,742.68 is: 5,164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258.72 : 8,637.12 = 3,742.68 : x
  2. Step 2: Convert to fraction form
    6,258.72/8,637.12 = 3,742.68/x
  3. Step 3: Cross multiply
    6,258.72x = 8,637.12 × 3,742.68
  4. Step 4: Simplify right side
    6,258.72x = 32,325,976.28
  5. Step 5: Solve for x
    x = 32,325,976.28/6,258.72
  6. Step 6: Final answer
    x = 5,164.95

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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.