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Finding the Fourth Proportional to 6,341.75, 8,749.49 and 3,686.98

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Solution

The fourth proportional to 6,341.75, 8,749.49 and 3,686.98 is: 5,086.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.75 : 8,749.49 = 3,686.98 : x
  2. Step 2: Convert to fraction form
    6,341.75/8,749.49 = 3,686.98/x
  3. Step 3: Cross multiply
    6,341.75x = 8,749.49 × 3,686.98
  4. Step 4: Simplify right side
    6,341.75x = 32,259,154.33
  5. Step 5: Solve for x
    x = 32,259,154.33/6,341.75
  6. Step 6: Final answer
    x = 5,086.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.