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Finding the Fourth Proportional to 3,086.64, 4,257 and 2,090.34

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Solution

The fourth proportional to 3,086.64, 4,257 and 2,090.34 is: 2,882.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.64 : 4,257 = 2,090.34 : x
  2. Step 2: Convert to fraction form
    3,086.64/4,257 = 2,090.34/x
  3. Step 3: Cross multiply
    3,086.64x = 4,257 × 2,090.34
  4. Step 4: Simplify right side
    3,086.64x = 8,898,577.38
  5. Step 5: Solve for x
    x = 8,898,577.38/3,086.64
  6. Step 6: Final answer
    x = 2,882.93

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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.