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Finding the Fourth Proportional to 5,946.08, 8,205.60 and 3,293.60

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Solution

The fourth proportional to 5,946.08, 8,205.60 and 3,293.60 is: 4,545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.08 : 8,205.60 = 3,293.60 : x
  2. Step 2: Convert to fraction form
    5,946.08/8,205.60 = 3,293.60/x
  3. Step 3: Cross multiply
    5,946.08x = 8,205.60 × 3,293.60
  4. Step 4: Simplify right side
    5,946.08x = 27,025,964.16
  5. Step 5: Solve for x
    x = 27,025,964.16/5,946.08
  6. Step 6: Final answer
    x = 4,545.17

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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.