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Finding the Fourth Proportional to 5,466.96, 8,201.66 and 1,571.07

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Solution

The fourth proportional to 5,466.96, 8,201.66 and 1,571.07 is: 2,356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466.96 : 8,201.66 = 1,571.07 : x
  2. Step 2: Convert to fraction form
    5,466.96/8,201.66 = 1,571.07/x
  3. Step 3: Cross multiply
    5,466.96x = 8,201.66 × 1,571.07
  4. Step 4: Simplify right side
    5,466.96x = 12,885,381.98
  5. Step 5: Solve for x
    x = 12,885,381.98/5,466.96
  6. Step 6: Final answer
    x = 2,356.96

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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.