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Finding the Fourth Proportional to 4,674.60, 6,449.22 and 3,259.80

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Solution

The fourth proportional to 4,674.60, 6,449.22 and 3,259.80 is: 4,497.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.60 : 6,449.22 = 3,259.80 : x
  2. Step 2: Convert to fraction form
    4,674.60/6,449.22 = 3,259.80/x
  3. Step 3: Cross multiply
    4,674.60x = 6,449.22 × 3,259.80
  4. Step 4: Simplify right side
    4,674.60x = 21,023,167.36
  5. Step 5: Solve for x
    x = 21,023,167.36/4,674.60
  6. Step 6: Final answer
    x = 4,497.32

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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.