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Finding the Fourth Proportional to 4,193.04, 6,284.04 and 3,144.80

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Solution

The fourth proportional to 4,193.04, 6,284.04 and 3,144.80 is: 4,713.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.04 : 6,284.04 = 3,144.80 : x
  2. Step 2: Convert to fraction form
    4,193.04/6,284.04 = 3,144.80/x
  3. Step 3: Cross multiply
    4,193.04x = 6,284.04 × 3,144.80
  4. Step 4: Simplify right side
    4,193.04x = 19,762,048.99
  5. Step 5: Solve for x
    x = 19,762,048.99/4,193.04
  6. Step 6: Final answer
    x = 4,713.06

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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.