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Finding the Fourth Proportional to 5,198.04, 7,178.36 and 4,447.68

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Solution

The fourth proportional to 5,198.04, 7,178.36 and 4,447.68 is: 6,142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.04 : 7,178.36 = 4,447.68 : x
  2. Step 2: Convert to fraction form
    5,198.04/7,178.36 = 4,447.68/x
  3. Step 3: Cross multiply
    5,198.04x = 7,178.36 × 4,447.68
  4. Step 4: Simplify right side
    5,198.04x = 31,927,048.20
  5. Step 5: Solve for x
    x = 31,927,048.20/5,198.04
  6. Step 6: Final answer
    x = 6,142.13

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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.