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Finding the Fourth Proportional to 3,831.56, 5,751.39 and 1,885.13

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Solution

The fourth proportional to 3,831.56, 5,751.39 and 1,885.13 is: 2,829.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.56 : 5,751.39 = 1,885.13 : x
  2. Step 2: Convert to fraction form
    3,831.56/5,751.39 = 1,885.13/x
  3. Step 3: Cross multiply
    3,831.56x = 5,751.39 × 1,885.13
  4. Step 4: Simplify right side
    3,831.56x = 10,842,117.83
  5. Step 5: Solve for x
    x = 10,842,117.83/3,831.56
  6. Step 6: Final answer
    x = 2,829.69

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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.