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Finding the Fourth Proportional to 3,886.26, 5,831.73 and 1,546.53

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Solution

The fourth proportional to 3,886.26, 5,831.73 and 1,546.53 is: 2,320.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.26 : 5,831.73 = 1,546.53 : x
  2. Step 2: Convert to fraction form
    3,886.26/5,831.73 = 1,546.53/x
  3. Step 3: Cross multiply
    3,886.26x = 5,831.73 × 1,546.53
  4. Step 4: Simplify right side
    3,886.26x = 9,018,945.40
  5. Step 5: Solve for x
    x = 9,018,945.40/3,886.26
  6. Step 6: Final answer
    x = 2,320.73

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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.