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Finding the Fourth Proportional to 4,300.22, 5,895.66 and 4,222.46

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Solution

The fourth proportional to 4,300.22, 5,895.66 and 4,222.46 is: 5,789.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,300.22 : 5,895.66 = 4,222.46 : x
  2. Step 2: Convert to fraction form
    4,300.22/5,895.66 = 4,222.46/x
  3. Step 3: Cross multiply
    4,300.22x = 5,895.66 × 4,222.46
  4. Step 4: Simplify right side
    4,300.22x = 24,894,188.52
  5. Step 5: Solve for x
    x = 24,894,188.52/4,300.22
  6. Step 6: Final answer
    x = 5,789.05

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.