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Finding the Fourth Proportional to 3,817.44, 5,728.80 and 1,509.12

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Solution

The fourth proportional to 3,817.44, 5,728.80 and 1,509.12 is: 2,264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.44 : 5,728.80 = 1,509.12 : x
  2. Step 2: Convert to fraction form
    3,817.44/5,728.80 = 1,509.12/x
  3. Step 3: Cross multiply
    3,817.44x = 5,728.80 × 1,509.12
  4. Step 4: Simplify right side
    3,817.44x = 8,645,446.66
  5. Step 5: Solve for x
    x = 8,645,446.66/3,817.44
  6. Step 6: Final answer
    x = 2,264.72

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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.