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Finding the Fourth Proportional to 3,659.31, 5,048.10 and 3,517.86

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Solution

The fourth proportional to 3,659.31, 5,048.10 and 3,517.86 is: 4,852.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.31 : 5,048.10 = 3,517.86 : x
  2. Step 2: Convert to fraction form
    3,659.31/5,048.10 = 3,517.86/x
  3. Step 3: Cross multiply
    3,659.31x = 5,048.10 × 3,517.86
  4. Step 4: Simplify right side
    3,659.31x = 17,758,509.07
  5. Step 5: Solve for x
    x = 17,758,509.07/3,659.31
  6. Step 6: Final answer
    x = 4,852.97

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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.