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Finding the Fourth Proportional to 5,724.76, 8,583.54 and 2,214.76

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Solution

The fourth proportional to 5,724.76, 8,583.54 and 2,214.76 is: 3,320.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.76 : 8,583.54 = 2,214.76 : x
  2. Step 2: Convert to fraction form
    5,724.76/8,583.54 = 2,214.76/x
  3. Step 3: Cross multiply
    5,724.76x = 8,583.54 × 2,214.76
  4. Step 4: Simplify right side
    5,724.76x = 19,010,481.05
  5. Step 5: Solve for x
    x = 19,010,481.05/5,724.76
  6. Step 6: Final answer
    x = 3,320.75

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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.