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Finding the Fourth Proportional to 3,831.10, 5,745.74 and 2,845.13

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Solution

The fourth proportional to 3,831.10, 5,745.74 and 2,845.13 is: 4,267.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.10 : 5,745.74 = 2,845.13 : x
  2. Step 2: Convert to fraction form
    3,831.10/5,745.74 = 2,845.13/x
  3. Step 3: Cross multiply
    3,831.10x = 5,745.74 × 2,845.13
  4. Step 4: Simplify right side
    3,831.10x = 16,347,334.29
  5. Step 5: Solve for x
    x = 16,347,334.29/3,831.10
  6. Step 6: Final answer
    x = 4,267.01

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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.