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Finding the Fourth Proportional to 3,755.63, 5,186.86 and 2,502

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Solution

The fourth proportional to 3,755.63, 5,186.86 and 2,502 is: 3,455.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.63 : 5,186.86 = 2,502 : x
  2. Step 2: Convert to fraction form
    3,755.63/5,186.86 = 2,502/x
  3. Step 3: Cross multiply
    3,755.63x = 5,186.86 × 2,502
  4. Step 4: Simplify right side
    3,755.63x = 12,977,517.47
  5. Step 5: Solve for x
    x = 12,977,517.47/3,755.63
  6. Step 6: Final answer
    x = 3,455.48

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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.