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Finding the Fourth Proportional to 5,731.84, 8,599.20 and 2,269.12

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Solution

The fourth proportional to 5,731.84, 8,599.20 and 2,269.12 is: 3,404.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.84 : 8,599.20 = 2,269.12 : x
  2. Step 2: Convert to fraction form
    5,731.84/8,599.20 = 2,269.12/x
  3. Step 3: Cross multiply
    5,731.84x = 8,599.20 × 2,269.12
  4. Step 4: Simplify right side
    5,731.84x = 19,512,616.70
  5. Step 5: Solve for x
    x = 19,512,616.70/5,731.84
  6. Step 6: Final answer
    x = 3,404.25

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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.