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Finding the Fourth Proportional to 4,561.65, 6,845.72 and 3,394.44

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Solution

The fourth proportional to 4,561.65, 6,845.72 and 3,394.44 is: 5,094.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.65 : 6,845.72 = 3,394.44 : x
  2. Step 2: Convert to fraction form
    4,561.65/6,845.72 = 3,394.44/x
  3. Step 3: Cross multiply
    4,561.65x = 6,845.72 × 3,394.44
  4. Step 4: Simplify right side
    4,561.65x = 23,237,368.82
  5. Step 5: Solve for x
    x = 23,237,368.82/4,561.65
  6. Step 6: Final answer
    x = 5,094.07

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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.