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Finding the Fourth Proportional to 4,464.74, 6,700.19 and 2,002.31

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Solution

The fourth proportional to 4,464.74, 6,700.19 and 2,002.31 is: 3,004.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464.74 : 6,700.19 = 2,002.31 : x
  2. Step 2: Convert to fraction form
    4,464.74/6,700.19 = 2,002.31/x
  3. Step 3: Cross multiply
    4,464.74x = 6,700.19 × 2,002.31
  4. Step 4: Simplify right side
    4,464.74x = 13,415,876.74
  5. Step 5: Solve for x
    x = 13,415,876.74/4,464.74
  6. Step 6: Final answer
    x = 3,004.85

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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.