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Finding the Fourth Proportional to 4,229.88, 6,344.76 and 4,125.30

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Solution

The fourth proportional to 4,229.88, 6,344.76 and 4,125.30 is: 6,187.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.88 : 6,344.76 = 4,125.30 : x
  2. Step 2: Convert to fraction form
    4,229.88/6,344.76 = 4,125.30/x
  3. Step 3: Cross multiply
    4,229.88x = 6,344.76 × 4,125.30
  4. Step 4: Simplify right side
    4,229.88x = 26,174,038.43
  5. Step 5: Solve for x
    x = 26,174,038.43/4,229.88
  6. Step 6: Final answer
    x = 6,187.89

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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.