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Finding the Fourth Proportional to 4,705.92, 6,497.16 and 3,027.96

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Solution

The fourth proportional to 4,705.92, 6,497.16 and 3,027.96 is: 4,180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.92 : 6,497.16 = 3,027.96 : x
  2. Step 2: Convert to fraction form
    4,705.92/6,497.16 = 3,027.96/x
  3. Step 3: Cross multiply
    4,705.92x = 6,497.16 × 3,027.96
  4. Step 4: Simplify right side
    4,705.92x = 19,673,140.59
  5. Step 5: Solve for x
    x = 19,673,140.59/4,705.92
  6. Step 6: Final answer
    x = 4,180.51

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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.