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Finding the Fourth Proportional to 4,694.13, 6,483.22 and 3,199.48

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Solution

The fourth proportional to 4,694.13, 6,483.22 and 3,199.48 is: 4,418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.13 : 6,483.22 = 3,199.48 : x
  2. Step 2: Convert to fraction form
    4,694.13/6,483.22 = 3,199.48/x
  3. Step 3: Cross multiply
    4,694.13x = 6,483.22 × 3,199.48
  4. Step 4: Simplify right side
    4,694.13x = 20,742,908.52
  5. Step 5: Solve for x
    x = 20,742,908.52/4,694.13
  6. Step 6: Final answer
    x = 4,418.90

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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.