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Finding the Fourth Proportional to 3,138.64, 4,708.31 and 2,368.33

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Solution

The fourth proportional to 3,138.64, 4,708.31 and 2,368.33 is: 3,552.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.64 : 4,708.31 = 2,368.33 : x
  2. Step 2: Convert to fraction form
    3,138.64/4,708.31 = 2,368.33/x
  3. Step 3: Cross multiply
    3,138.64x = 4,708.31 × 2,368.33
  4. Step 4: Simplify right side
    3,138.64x = 11,150,831.82
  5. Step 5: Solve for x
    x = 11,150,831.82/3,138.64
  6. Step 6: Final answer
    x = 3,552.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.