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Finding the Fourth Proportional to 3,831.54, 5,748.67 and 2,189.46

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Solution

The fourth proportional to 3,831.54, 5,748.67 and 2,189.46 is: 3,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.54 : 5,748.67 = 2,189.46 : x
  2. Step 2: Convert to fraction form
    3,831.54/5,748.67 = 2,189.46/x
  3. Step 3: Cross multiply
    3,831.54x = 5,748.67 × 2,189.46
  4. Step 4: Simplify right side
    3,831.54x = 12,586,507.31
  5. Step 5: Solve for x
    x = 12,586,507.31/3,831.54
  6. Step 6: Final answer
    x = 3,284.98

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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.