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Finding the Fourth Proportional to 3,656.61, 5,046.10 and 2,063.27

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Solution

The fourth proportional to 3,656.61, 5,046.10 and 2,063.27 is: 2,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.61 : 5,046.10 = 2,063.27 : x
  2. Step 2: Convert to fraction form
    3,656.61/5,046.10 = 2,063.27/x
  3. Step 3: Cross multiply
    3,656.61x = 5,046.10 × 2,063.27
  4. Step 4: Simplify right side
    3,656.61x = 10,411,474.20
  5. Step 5: Solve for x
    x = 10,411,474.20/3,656.61
  6. Step 6: Final answer
    x = 2,847.30

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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.