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Finding the Fourth Proportional to 4,707.49, 6,493.48 and 3,114.13

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Solution

The fourth proportional to 4,707.49, 6,493.48 and 3,114.13 is: 4,295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.49 : 6,493.48 = 3,114.13 : x
  2. Step 2: Convert to fraction form
    4,707.49/6,493.48 = 3,114.13/x
  3. Step 3: Cross multiply
    4,707.49x = 6,493.48 × 3,114.13
  4. Step 4: Simplify right side
    4,707.49x = 20,221,540.87
  5. Step 5: Solve for x
    x = 20,221,540.87/4,707.49
  6. Step 6: Final answer
    x = 4,295.61

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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.