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Finding the Fourth Proportional to 4,198.34, 6,289.29 and 3,219.65

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Solution

The fourth proportional to 4,198.34, 6,289.29 and 3,219.65 is: 4,823.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.34 : 6,289.29 = 3,219.65 : x
  2. Step 2: Convert to fraction form
    4,198.34/6,289.29 = 3,219.65/x
  3. Step 3: Cross multiply
    4,198.34x = 6,289.29 × 3,219.65
  4. Step 4: Simplify right side
    4,198.34x = 20,249,312.55
  5. Step 5: Solve for x
    x = 20,249,312.55/4,198.34
  6. Step 6: Final answer
    x = 4,823.17

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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.