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Finding the Fourth Proportional to 5,113.32, 7,672.32 and 3,817.32

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Solution

The fourth proportional to 5,113.32, 7,672.32 and 3,817.32 is: 5,727.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.32 : 7,672.32 = 3,817.32 : x
  2. Step 2: Convert to fraction form
    5,113.32/7,672.32 = 3,817.32/x
  3. Step 3: Cross multiply
    5,113.32x = 7,672.32 × 3,817.32
  4. Step 4: Simplify right side
    5,113.32x = 29,287,700.58
  5. Step 5: Solve for x
    x = 29,287,700.58/5,113.32
  6. Step 6: Final answer
    x = 5,727.73

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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.