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Finding the Fourth Proportional to 4,309.29, 5,946.81 and 2,446.29

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Solution

The fourth proportional to 4,309.29, 5,946.81 and 2,446.29 is: 3,375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.29 : 5,946.81 = 2,446.29 : x
  2. Step 2: Convert to fraction form
    4,309.29/5,946.81 = 2,446.29/x
  3. Step 3: Cross multiply
    4,309.29x = 5,946.81 × 2,446.29
  4. Step 4: Simplify right side
    4,309.29x = 14,547,592.10
  5. Step 5: Solve for x
    x = 14,547,592.10/4,309.29
  6. Step 6: Final answer
    x = 3,375.87

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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.