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Finding the Fourth Proportional to 5,048.78, 6,967.64 and 3,369.12

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Solution

The fourth proportional to 5,048.78, 6,967.64 and 3,369.12 is: 4,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.78 : 6,967.64 = 3,369.12 : x
  2. Step 2: Convert to fraction form
    5,048.78/6,967.64 = 3,369.12/x
  3. Step 3: Cross multiply
    5,048.78x = 6,967.64 × 3,369.12
  4. Step 4: Simplify right side
    5,048.78x = 23,474,806.28
  5. Step 5: Solve for x
    x = 23,474,806.28/5,048.78
  6. Step 6: Final answer
    x = 4,649.60

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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.