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Finding the Fourth Proportional to 4,666.63, 6,449.25 and 3,826.03

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Solution

The fourth proportional to 4,666.63, 6,449.25 and 3,826.03 is: 5,287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.63 : 6,449.25 = 3,826.03 : x
  2. Step 2: Convert to fraction form
    4,666.63/6,449.25 = 3,826.03/x
  3. Step 3: Cross multiply
    4,666.63x = 6,449.25 × 3,826.03
  4. Step 4: Simplify right side
    4,666.63x = 24,675,023.98
  5. Step 5: Solve for x
    x = 24,675,023.98/4,666.63
  6. Step 6: Final answer
    x = 5,287.55

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Why These Related Problems?

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