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Finding the Fourth Proportional to 3,516.43, 4,853 and 2,100.10

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Solution

The fourth proportional to 3,516.43, 4,853 and 2,100.10 is: 2,898.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516.43 : 4,853 = 2,100.10 : x
  2. Step 2: Convert to fraction form
    3,516.43/4,853 = 2,100.10/x
  3. Step 3: Cross multiply
    3,516.43x = 4,853 × 2,100.10
  4. Step 4: Simplify right side
    3,516.43x = 10,191,785.30
  5. Step 5: Solve for x
    x = 10,191,785.30/3,516.43
  6. Step 6: Final answer
    x = 2,898.34

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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.