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Finding the Fourth Proportional to 5,906, 8,143.51 and 4,411.39

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Solution

The fourth proportional to 5,906, 8,143.51 and 4,411.39 is: 6,082.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906 : 8,143.51 = 4,411.39 : x
  2. Step 2: Convert to fraction form
    5,906/8,143.51 = 4,411.39/x
  3. Step 3: Cross multiply
    5,906x = 8,143.51 × 4,411.39
  4. Step 4: Simplify right side
    5,906x = 35,924,198.58
  5. Step 5: Solve for x
    x = 35,924,198.58/5,906
  6. Step 6: Final answer
    x = 6,082.66

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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.