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Finding the Fourth Proportional to 3,417.38, 4,714.90 and 2,090.42

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Solution

The fourth proportional to 3,417.38, 4,714.90 and 2,090.42 is: 2,884.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.38 : 4,714.90 = 2,090.42 : x
  2. Step 2: Convert to fraction form
    3,417.38/4,714.90 = 2,090.42/x
  3. Step 3: Cross multiply
    3,417.38x = 4,714.90 × 2,090.42
  4. Step 4: Simplify right side
    3,417.38x = 9,856,092.46
  5. Step 5: Solve for x
    x = 9,856,092.46/3,417.38
  6. Step 6: Final answer
    x = 2,884.11

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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.