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Finding the Fourth Proportional to 4,748.12, 7,122.22 and 4,391

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Solution

The fourth proportional to 4,748.12, 7,122.22 and 4,391 is: 6,586.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.12 : 7,122.22 = 4,391 : x
  2. Step 2: Convert to fraction form
    4,748.12/7,122.22 = 4,391/x
  3. Step 3: Cross multiply
    4,748.12x = 7,122.22 × 4,391
  4. Step 4: Simplify right side
    4,748.12x = 31,273,668.02
  5. Step 5: Solve for x
    x = 31,273,668.02/4,748.12
  6. Step 6: Final answer
    x = 6,586.54

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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.