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Finding the Fourth Proportional to 5,831.82, 8,048.13 and 3,314.36

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Solution

The fourth proportional to 5,831.82, 8,048.13 and 3,314.36 is: 4,573.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.82 : 8,048.13 = 3,314.36 : x
  2. Step 2: Convert to fraction form
    5,831.82/8,048.13 = 3,314.36/x
  3. Step 3: Cross multiply
    5,831.82x = 8,048.13 × 3,314.36
  4. Step 4: Simplify right side
    5,831.82x = 26,674,400.15
  5. Step 5: Solve for x
    x = 26,674,400.15/5,831.82
  6. Step 6: Final answer
    x = 4,573.94

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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.