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Finding the Fourth Proportional to 3,736.86, 5,605.29 and 1,543.19

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Solution

The fourth proportional to 3,736.86, 5,605.29 and 1,543.19 is: 2,314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.86 : 5,605.29 = 1,543.19 : x
  2. Step 2: Convert to fraction form
    3,736.86/5,605.29 = 1,543.19/x
  3. Step 3: Cross multiply
    3,736.86x = 5,605.29 × 1,543.19
  4. Step 4: Simplify right side
    3,736.86x = 8,650,027.48
  5. Step 5: Solve for x
    x = 8,650,027.48/3,736.86
  6. Step 6: Final answer
    x = 2,314.79

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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.