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Finding the Fourth Proportional to 4,039.60, 6,064.80 and 3,218.80

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Solution

The fourth proportional to 4,039.60, 6,064.80 and 3,218.80 is: 4,832.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,039.60 : 6,064.80 = 3,218.80 : x
  2. Step 2: Convert to fraction form
    4,039.60/6,064.80 = 3,218.80/x
  3. Step 3: Cross multiply
    4,039.60x = 6,064.80 × 3,218.80
  4. Step 4: Simplify right side
    4,039.60x = 19,521,378.24
  5. Step 5: Solve for x
    x = 19,521,378.24/4,039.60
  6. Step 6: Final answer
    x = 4,832.50

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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.