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Finding the Fourth Proportional to 4,103.07, 5,659.04 and 3,631.47

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Solution

The fourth proportional to 4,103.07, 5,659.04 and 3,631.47 is: 5,008.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.07 : 5,659.04 = 3,631.47 : x
  2. Step 2: Convert to fraction form
    4,103.07/5,659.04 = 3,631.47/x
  3. Step 3: Cross multiply
    4,103.07x = 5,659.04 × 3,631.47
  4. Step 4: Simplify right side
    4,103.07x = 20,550,615.83
  5. Step 5: Solve for x
    x = 20,550,615.83/4,103.07
  6. Step 6: Final answer
    x = 5,008.59

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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.