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Finding the Fourth Proportional to 5,474.58, 8,211.25 and 1,578.98

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Solution

The fourth proportional to 5,474.58, 8,211.25 and 1,578.98 is: 2,368.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.58 : 8,211.25 = 1,578.98 : x
  2. Step 2: Convert to fraction form
    5,474.58/8,211.25 = 1,578.98/x
  3. Step 3: Cross multiply
    5,474.58x = 8,211.25 × 1,578.98
  4. Step 4: Simplify right side
    5,474.58x = 12,965,399.53
  5. Step 5: Solve for x
    x = 12,965,399.53/5,474.58
  6. Step 6: Final answer
    x = 2,368.29

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1.5x scale

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.