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Finding the Fourth Proportional to 5,734.32, 8,599.44 and 2,611.71

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Solution

The fourth proportional to 5,734.32, 8,599.44 and 2,611.71 is: 3,916.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.32 : 8,599.44 = 2,611.71 : x
  2. Step 2: Convert to fraction form
    5,734.32/8,599.44 = 2,611.71/x
  3. Step 3: Cross multiply
    5,734.32x = 8,599.44 × 2,611.71
  4. Step 4: Simplify right side
    5,734.32x = 22,459,243.44
  5. Step 5: Solve for x
    x = 22,459,243.44/5,734.32
  6. Step 6: Final answer
    x = 3,916.64

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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.