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Finding the Fourth Proportional to 4,135.92, 5,707.48 and 2,247.48

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Solution

The fourth proportional to 4,135.92, 5,707.48 and 2,247.48 is: 3,101.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.92 : 5,707.48 = 2,247.48 : x
  2. Step 2: Convert to fraction form
    4,135.92/5,707.48 = 2,247.48/x
  3. Step 3: Cross multiply
    4,135.92x = 5,707.48 × 2,247.48
  4. Step 4: Simplify right side
    4,135.92x = 12,827,447.15
  5. Step 5: Solve for x
    x = 12,827,447.15/4,135.92
  6. Step 6: Final answer
    x = 3,101.47

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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.