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Finding the Fourth Proportional to 4,728.27, 6,526.17 and 2,738.54

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Solution

The fourth proportional to 4,728.27, 6,526.17 and 2,738.54 is: 3,779.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.27 : 6,526.17 = 2,738.54 : x
  2. Step 2: Convert to fraction form
    4,728.27/6,526.17 = 2,738.54/x
  3. Step 3: Cross multiply
    4,728.27x = 6,526.17 × 2,738.54
  4. Step 4: Simplify right side
    4,728.27x = 17,872,193.91
  5. Step 5: Solve for x
    x = 17,872,193.91/4,728.27
  6. Step 6: Final answer
    x = 3,779.86

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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.