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Finding the Fourth Proportional to 3,563.64, 4,916.43 and 2,071.29

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Solution

The fourth proportional to 3,563.64, 4,916.43 and 2,071.29 is: 2,857.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.64 : 4,916.43 = 2,071.29 : x
  2. Step 2: Convert to fraction form
    3,563.64/4,916.43 = 2,071.29/x
  3. Step 3: Cross multiply
    3,563.64x = 4,916.43 × 2,071.29
  4. Step 4: Simplify right side
    3,563.64x = 10,183,352.29
  5. Step 5: Solve for x
    x = 10,183,352.29/3,563.64
  6. Step 6: Final answer
    x = 2,857.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.