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Finding the Fourth Proportional to 4,601.34, 6,347.23 and 2,831.69

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Solution

The fourth proportional to 4,601.34, 6,347.23 and 2,831.69 is: 3,906.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.34 : 6,347.23 = 2,831.69 : x
  2. Step 2: Convert to fraction form
    4,601.34/6,347.23 = 2,831.69/x
  3. Step 3: Cross multiply
    4,601.34x = 6,347.23 × 2,831.69
  4. Step 4: Simplify right side
    4,601.34x = 17,973,396.51
  5. Step 5: Solve for x
    x = 17,973,396.51/4,601.34
  6. Step 6: Final answer
    x = 3,906.12

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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.