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Finding the Fourth Proportional to 4,424.35, 6,102.96 and 2,831.35

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Solution

The fourth proportional to 4,424.35, 6,102.96 and 2,831.35 is: 3,905.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,424.35 : 6,102.96 = 2,831.35 : x
  2. Step 2: Convert to fraction form
    4,424.35/6,102.96 = 2,831.35/x
  3. Step 3: Cross multiply
    4,424.35x = 6,102.96 × 2,831.35
  4. Step 4: Simplify right side
    4,424.35x = 17,279,615.80
  5. Step 5: Solve for x
    x = 17,279,615.80/4,424.35
  6. Step 6: Final answer
    x = 3,905.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.