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Finding the Fourth Proportional to 6,341.58, 8,749.25 and 3,686.82

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Solution

The fourth proportional to 6,341.58, 8,749.25 and 3,686.82 is: 5,086.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.58 : 8,749.25 = 3,686.82 : x
  2. Step 2: Convert to fraction form
    6,341.58/8,749.25 = 3,686.82/x
  3. Step 3: Cross multiply
    6,341.58x = 8,749.25 × 3,686.82
  4. Step 4: Simplify right side
    6,341.58x = 32,256,909.89
  5. Step 5: Solve for x
    x = 32,256,909.89/6,341.58
  6. Step 6: Final answer
    x = 5,086.57

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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.