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Finding the Fourth Proportional to 3,695.83, 5,100.08 and 2,017.31

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Solution

The fourth proportional to 3,695.83, 5,100.08 and 2,017.31 is: 2,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.83 : 5,100.08 = 2,017.31 : x
  2. Step 2: Convert to fraction form
    3,695.83/5,100.08 = 2,017.31/x
  3. Step 3: Cross multiply
    3,695.83x = 5,100.08 × 2,017.31
  4. Step 4: Simplify right side
    3,695.83x = 10,288,442.38
  5. Step 5: Solve for x
    x = 10,288,442.38/3,695.83
  6. Step 6: Final answer
    x = 2,783.80

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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.