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Finding the Fourth Proportional to 4,742.92, 6,545.46 and 2,647

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Solution

The fourth proportional to 4,742.92, 6,545.46 and 2,647 is: 3,652.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.92 : 6,545.46 = 2,647 : x
  2. Step 2: Convert to fraction form
    4,742.92/6,545.46 = 2,647/x
  3. Step 3: Cross multiply
    4,742.92x = 6,545.46 × 2,647
  4. Step 4: Simplify right side
    4,742.92x = 17,325,832.62
  5. Step 5: Solve for x
    x = 17,325,832.62/4,742.92
  6. Step 6: Final answer
    x = 3,652.99

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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.