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Finding the Fourth Proportional to 5,724.34, 8,578.95 and 2,604.76

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Solution

The fourth proportional to 5,724.34, 8,578.95 and 2,604.76 is: 3,903.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.34 : 8,578.95 = 2,604.76 : x
  2. Step 2: Convert to fraction form
    5,724.34/8,578.95 = 2,604.76/x
  3. Step 3: Cross multiply
    5,724.34x = 8,578.95 × 2,604.76
  4. Step 4: Simplify right side
    5,724.34x = 22,346,105.80
  5. Step 5: Solve for x
    x = 22,346,105.80/5,724.34
  6. Step 6: Final answer
    x = 3,903.70

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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.