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Finding the Fourth Proportional to 5,882.94, 8,824.41 and 2,374.49

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Solution

The fourth proportional to 5,882.94, 8,824.41 and 2,374.49 is: 3,561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.94 : 8,824.41 = 2,374.49 : x
  2. Step 2: Convert to fraction form
    5,882.94/8,824.41 = 2,374.49/x
  3. Step 3: Cross multiply
    5,882.94x = 8,824.41 × 2,374.49
  4. Step 4: Simplify right side
    5,882.94x = 20,953,473.30
  5. Step 5: Solve for x
    x = 20,953,473.30/5,882.94
  6. Step 6: Final answer
    x = 3,561.74

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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.