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Finding the Fourth Proportional to 3,831.96, 5,292.36 and 3,613.26

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Solution

The fourth proportional to 3,831.96, 5,292.36 and 3,613.26 is: 4,990.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.96 : 5,292.36 = 3,613.26 : x
  2. Step 2: Convert to fraction form
    3,831.96/5,292.36 = 3,613.26/x
  3. Step 3: Cross multiply
    3,831.96x = 5,292.36 × 3,613.26
  4. Step 4: Simplify right side
    3,831.96x = 19,122,672.69
  5. Step 5: Solve for x
    x = 19,122,672.69/3,831.96
  6. Step 6: Final answer
    x = 4,990.31

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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.