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Finding the Fourth Proportional to 4,284.92, 5,890.49 and 3,685.20

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Solution

The fourth proportional to 4,284.92, 5,890.49 and 3,685.20 is: 5,066.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,284.92 : 5,890.49 = 3,685.20 : x
  2. Step 2: Convert to fraction form
    4,284.92/5,890.49 = 3,685.20/x
  3. Step 3: Cross multiply
    4,284.92x = 5,890.49 × 3,685.20
  4. Step 4: Simplify right side
    4,284.92x = 21,707,615.32
  5. Step 5: Solve for x
    x = 21,707,615.32/4,284.92
  6. Step 6: Final answer
    x = 5,066.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.