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Finding the Fourth Proportional to 5,874.36, 8,105.70 and 3,516

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Solution

The fourth proportional to 5,874.36, 8,105.70 and 3,516 is: 4,851.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.36 : 8,105.70 = 3,516 : x
  2. Step 2: Convert to fraction form
    5,874.36/8,105.70 = 3,516/x
  3. Step 3: Cross multiply
    5,874.36x = 8,105.70 × 3,516
  4. Step 4: Simplify right side
    5,874.36x = 28,499,641.20
  5. Step 5: Solve for x
    x = 28,499,641.20/5,874.36
  6. Step 6: Final answer
    x = 4,851.53

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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.