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Finding the Fourth Proportional to 4,464.69, 6,161.21 and 2,475.20

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Solution

The fourth proportional to 4,464.69, 6,161.21 and 2,475.20 is: 3,415.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464.69 : 6,161.21 = 2,475.20 : x
  2. Step 2: Convert to fraction form
    4,464.69/6,161.21 = 2,475.20/x
  3. Step 3: Cross multiply
    4,464.69x = 6,161.21 × 2,475.20
  4. Step 4: Simplify right side
    4,464.69x = 15,250,226.99
  5. Step 5: Solve for x
    x = 15,250,226.99/4,464.69
  6. Step 6: Final answer
    x = 3,415.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.