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Finding the Fourth Proportional to 4,338.74, 6,500.28 and 3,649.70

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Solution

The fourth proportional to 4,338.74, 6,500.28 and 3,649.70 is: 5,467.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.74 : 6,500.28 = 3,649.70 : x
  2. Step 2: Convert to fraction form
    4,338.74/6,500.28 = 3,649.70/x
  3. Step 3: Cross multiply
    4,338.74x = 6,500.28 × 3,649.70
  4. Step 4: Simplify right side
    4,338.74x = 23,724,071.92
  5. Step 5: Solve for x
    x = 23,724,071.92/4,338.74
  6. Step 6: Final answer
    x = 5,467.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.