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Finding the Fourth Proportional to 5,049.08, 7,575.78 and 4,619.24

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Solution

The fourth proportional to 5,049.08, 7,575.78 and 4,619.24 is: 6,930.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.08 : 7,575.78 = 4,619.24 : x
  2. Step 2: Convert to fraction form
    5,049.08/7,575.78 = 4,619.24/x
  3. Step 3: Cross multiply
    5,049.08x = 7,575.78 × 4,619.24
  4. Step 4: Simplify right side
    5,049.08x = 34,994,346.01
  5. Step 5: Solve for x
    x = 34,994,346.01/5,049.08
  6. Step 6: Final answer
    x = 6,930.84

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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.