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Finding the Fourth Proportional to 3,781.26, 5,215.64 and 2,602.98

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Solution

The fourth proportional to 3,781.26, 5,215.64 and 2,602.98 is: 3,590.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.26 : 5,215.64 = 2,602.98 : x
  2. Step 2: Convert to fraction form
    3,781.26/5,215.64 = 2,602.98/x
  3. Step 3: Cross multiply
    3,781.26x = 5,215.64 × 2,602.98
  4. Step 4: Simplify right side
    3,781.26x = 13,576,193.59
  5. Step 5: Solve for x
    x = 13,576,193.59/3,781.26
  6. Step 6: Final answer
    x = 3,590.39

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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.