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Finding the Fourth Proportional to 4,309.92, 5,946.72 and 2,820

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Solution

The fourth proportional to 4,309.92, 5,946.72 and 2,820 is: 3,890.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.92 : 5,946.72 = 2,820 : x
  2. Step 2: Convert to fraction form
    4,309.92/5,946.72 = 2,820/x
  3. Step 3: Cross multiply
    4,309.92x = 5,946.72 × 2,820
  4. Step 4: Simplify right side
    4,309.92x = 16,769,750.40
  5. Step 5: Solve for x
    x = 16,769,750.40/4,309.92
  6. Step 6: Final answer
    x = 3,890.97

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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.