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Finding the Fourth Proportional to 5,831.20, 8,725.20 and 3,887.20

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Solution

The fourth proportional to 5,831.20, 8,725.20 and 3,887.20 is: 5,816.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.20 : 8,725.20 = 3,887.20 : x
  2. Step 2: Convert to fraction form
    5,831.20/8,725.20 = 3,887.20/x
  3. Step 3: Cross multiply
    5,831.20x = 8,725.20 × 3,887.20
  4. Step 4: Simplify right side
    5,831.20x = 33,916,597.44
  5. Step 5: Solve for x
    x = 33,916,597.44/5,831.20
  6. Step 6: Final answer
    x = 5,816.40

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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.