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Finding the Fourth Proportional to 4,297, 6,433.26 and 2,831.68

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Solution

The fourth proportional to 4,297, 6,433.26 and 2,831.68 is: 4,239.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297 : 6,433.26 = 2,831.68 : x
  2. Step 2: Convert to fraction form
    4,297/6,433.26 = 2,831.68/x
  3. Step 3: Cross multiply
    4,297x = 6,433.26 × 2,831.68
  4. Step 4: Simplify right side
    4,297x = 18,216,933.68
  5. Step 5: Solve for x
    x = 18,216,933.68/4,297
  6. Step 6: Final answer
    x = 4,239.45

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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.