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Finding the Fourth Proportional to 3,709.22, 5,570.19 and 3,293.69

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Solution

The fourth proportional to 3,709.22, 5,570.19 and 3,293.69 is: 4,946.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.22 : 5,570.19 = 3,293.69 : x
  2. Step 2: Convert to fraction form
    3,709.22/5,570.19 = 3,293.69/x
  3. Step 3: Cross multiply
    3,709.22x = 5,570.19 × 3,293.69
  4. Step 4: Simplify right side
    3,709.22x = 18,346,479.10
  5. Step 5: Solve for x
    x = 18,346,479.10/3,709.22
  6. Step 6: Final answer
    x = 4,946.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.