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Finding the Fourth Proportional to 4,112.64, 6,138.54 and 3,823.68

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Solution

The fourth proportional to 4,112.64, 6,138.54 and 3,823.68 is: 5,707.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112.64 : 6,138.54 = 3,823.68 : x
  2. Step 2: Convert to fraction form
    4,112.64/6,138.54 = 3,823.68/x
  3. Step 3: Cross multiply
    4,112.64x = 6,138.54 × 3,823.68
  4. Step 4: Simplify right side
    4,112.64x = 23,471,812.63
  5. Step 5: Solve for x
    x = 23,471,812.63/4,112.64
  6. Step 6: Final answer
    x = 5,707.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.