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Finding the Fourth Proportional to 5,005.46, 6,906.54 and 3,016.15

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Solution

The fourth proportional to 5,005.46, 6,906.54 and 3,016.15 is: 4,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.46 : 6,906.54 = 3,016.15 : x
  2. Step 2: Convert to fraction form
    5,005.46/6,906.54 = 3,016.15/x
  3. Step 3: Cross multiply
    5,005.46x = 6,906.54 × 3,016.15
  4. Step 4: Simplify right side
    5,005.46x = 20,831,154.67
  5. Step 5: Solve for x
    x = 20,831,154.67/5,005.46
  6. Step 6: Final answer
    x = 4,161.68

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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.