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Finding the Fourth Proportional to 3,590.44, 5,385.90 and 1,742.44

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Solution

The fourth proportional to 3,590.44, 5,385.90 and 1,742.44 is: 2,613.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.44 : 5,385.90 = 1,742.44 : x
  2. Step 2: Convert to fraction form
    3,590.44/5,385.90 = 1,742.44/x
  3. Step 3: Cross multiply
    3,590.44x = 5,385.90 × 1,742.44
  4. Step 4: Simplify right side
    3,590.44x = 9,384,607.60
  5. Step 5: Solve for x
    x = 9,384,607.60/3,590.44
  6. Step 6: Final answer
    x = 2,613.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.