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Finding the Fourth Proportional to 4,500.72, 6,211.76 and 2,823.53

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Solution

The fourth proportional to 4,500.72, 6,211.76 and 2,823.53 is: 3,896.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,500.72 : 6,211.76 = 2,823.53 : x
  2. Step 2: Convert to fraction form
    4,500.72/6,211.76 = 2,823.53/x
  3. Step 3: Cross multiply
    4,500.72x = 6,211.76 × 2,823.53
  4. Step 4: Simplify right side
    4,500.72x = 17,539,045.54
  5. Step 5: Solve for x
    x = 17,539,045.54/4,500.72
  6. Step 6: Final answer
    x = 3,896.94

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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.