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Finding the Fourth Proportional to 3,753.64, 5,178.98 and 2,181.16

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Solution

The fourth proportional to 3,753.64, 5,178.98 and 2,181.16 is: 3,009.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.64 : 5,178.98 = 2,181.16 : x
  2. Step 2: Convert to fraction form
    3,753.64/5,178.98 = 2,181.16/x
  3. Step 3: Cross multiply
    3,753.64x = 5,178.98 × 2,181.16
  4. Step 4: Simplify right side
    3,753.64x = 11,296,184.02
  5. Step 5: Solve for x
    x = 11,296,184.02/3,753.64
  6. Step 6: Final answer
    x = 3,009.39

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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.