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Finding the Fourth Proportional to 5,635.69, 8,449.76 and 5,049.25

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Solution

The fourth proportional to 5,635.69, 8,449.76 and 5,049.25 is: 7,570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.69 : 8,449.76 = 5,049.25 : x
  2. Step 2: Convert to fraction form
    5,635.69/8,449.76 = 5,049.25/x
  3. Step 3: Cross multiply
    5,635.69x = 8,449.76 × 5,049.25
  4. Step 4: Simplify right side
    5,635.69x = 42,664,925.43
  5. Step 5: Solve for x
    x = 42,664,925.43/5,635.69
  6. Step 6: Final answer
    x = 7,570.49

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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.