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Finding the Fourth Proportional to 5,466.56, 8,199.90 and 1,571

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Solution

The fourth proportional to 5,466.56, 8,199.90 and 1,571 is: 2,356.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466.56 : 8,199.90 = 1,571 : x
  2. Step 2: Convert to fraction form
    5,466.56/8,199.90 = 1,571/x
  3. Step 3: Cross multiply
    5,466.56x = 8,199.90 × 1,571
  4. Step 4: Simplify right side
    5,466.56x = 12,882,042.90
  5. Step 5: Solve for x
    x = 12,882,042.90/5,466.56
  6. Step 6: Final answer
    x = 2,356.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.