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Finding the Fourth Proportional to 5,831.48, 8,747.06 and 1,448.88

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Solution

The fourth proportional to 5,831.48, 8,747.06 and 1,448.88 is: 2,173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.48 : 8,747.06 = 1,448.88 : x
  2. Step 2: Convert to fraction form
    5,831.48/8,747.06 = 1,448.88/x
  3. Step 3: Cross multiply
    5,831.48x = 8,747.06 × 1,448.88
  4. Step 4: Simplify right side
    5,831.48x = 12,673,433.05
  5. Step 5: Solve for x
    x = 12,673,433.05/5,831.48
  6. Step 6: Final answer
    x = 2,173.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.