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Finding the Fourth Proportional to 5,741.26, 8,590.14 and 3,402.52

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Solution

The fourth proportional to 5,741.26, 8,590.14 and 3,402.52 is: 5,090.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.26 : 8,590.14 = 3,402.52 : x
  2. Step 2: Convert to fraction form
    5,741.26/8,590.14 = 3,402.52/x
  3. Step 3: Cross multiply
    5,741.26x = 8,590.14 × 3,402.52
  4. Step 4: Simplify right side
    5,741.26x = 29,228,123.15
  5. Step 5: Solve for x
    x = 29,228,123.15/5,741.26
  6. Step 6: Final answer
    x = 5,090.89

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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.