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Finding the Fourth Proportional to 5,905.40, 8,143.62 and 4,223.84

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Solution

The fourth proportional to 5,905.40, 8,143.62 and 4,223.84 is: 5,824.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.40 : 8,143.62 = 4,223.84 : x
  2. Step 2: Convert to fraction form
    5,905.40/8,143.62 = 4,223.84/x
  3. Step 3: Cross multiply
    5,905.40x = 8,143.62 × 4,223.84
  4. Step 4: Simplify right side
    5,905.40x = 34,397,347.90
  5. Step 5: Solve for x
    x = 34,397,347.90/5,905.40
  6. Step 6: Final answer
    x = 5,824.73

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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.