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Finding the Fourth Proportional to 4,967.36, 6,857.96 and 3,290.19

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Solution

The fourth proportional to 4,967.36, 6,857.96 and 3,290.19 is: 4,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.36 : 6,857.96 = 3,290.19 : x
  2. Step 2: Convert to fraction form
    4,967.36/6,857.96 = 3,290.19/x
  3. Step 3: Cross multiply
    4,967.36x = 6,857.96 × 3,290.19
  4. Step 4: Simplify right side
    4,967.36x = 22,563,974.96
  5. Step 5: Solve for x
    x = 22,563,974.96/4,967.36
  6. Step 6: Final answer
    x = 4,542.45

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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.