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Finding the Fourth Proportional to 4,588.74, 6,899.72 and 4,227.89

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Solution

The fourth proportional to 4,588.74, 6,899.72 and 4,227.89 is: 6,357.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588.74 : 6,899.72 = 4,227.89 : x
  2. Step 2: Convert to fraction form
    4,588.74/6,899.72 = 4,227.89/x
  3. Step 3: Cross multiply
    4,588.74x = 6,899.72 × 4,227.89
  4. Step 4: Simplify right side
    4,588.74x = 29,171,201.55
  5. Step 5: Solve for x
    x = 29,171,201.55/4,588.74
  6. Step 6: Final answer
    x = 6,357.13

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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.