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Finding the Fourth Proportional to 5,466.75, 8,201.51 and 1,571.16

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Solution

The fourth proportional to 5,466.75, 8,201.51 and 1,571.16 is: 2,357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466.75 : 8,201.51 = 1,571.16 : x
  2. Step 2: Convert to fraction form
    5,466.75/8,201.51 = 1,571.16/x
  3. Step 3: Cross multiply
    5,466.75x = 8,201.51 × 1,571.16
  4. Step 4: Simplify right side
    5,466.75x = 12,885,884.45
  5. Step 5: Solve for x
    x = 12,885,884.45/5,466.75
  6. Step 6: Final answer
    x = 2,357.14

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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.