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Finding the Fourth Proportional to 3,831.09, 5,742.45 and 1,641.12

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Solution

The fourth proportional to 3,831.09, 5,742.45 and 1,641.12 is: 2,459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.09 : 5,742.45 = 1,641.12 : x
  2. Step 2: Convert to fraction form
    3,831.09/5,742.45 = 1,641.12/x
  3. Step 3: Cross multiply
    3,831.09x = 5,742.45 × 1,641.12
  4. Step 4: Simplify right side
    3,831.09x = 9,424,049.54
  5. Step 5: Solve for x
    x = 9,424,049.54/3,831.09
  6. Step 6: Final answer
    x = 2,459.89

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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.