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Finding the Fourth Proportional to 5,211.06, 7,816.62 and 4,576.86

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Solution

The fourth proportional to 5,211.06, 7,816.62 and 4,576.86 is: 6,865.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.06 : 7,816.62 = 4,576.86 : x
  2. Step 2: Convert to fraction form
    5,211.06/7,816.62 = 4,576.86/x
  3. Step 3: Cross multiply
    5,211.06x = 7,816.62 × 4,576.86
  4. Step 4: Simplify right side
    5,211.06x = 35,775,575.41
  5. Step 5: Solve for x
    x = 35,775,575.41/5,211.06
  6. Step 6: Final answer
    x = 6,865.32

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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.