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Finding the Fourth Proportional to 5,866.53, 8,096.01 and 3,213.93

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Solution

The fourth proportional to 5,866.53, 8,096.01 and 3,213.93 is: 4,435.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.53 : 8,096.01 = 3,213.93 : x
  2. Step 2: Convert to fraction form
    5,866.53/8,096.01 = 3,213.93/x
  3. Step 3: Cross multiply
    5,866.53x = 8,096.01 × 3,213.93
  4. Step 4: Simplify right side
    5,866.53x = 26,020,035.76
  5. Step 5: Solve for x
    x = 26,020,035.76/5,866.53
  6. Step 6: Final answer
    x = 4,435.34

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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.