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Finding the Fourth Proportional to 4,561.65, 6,296.09 and 2,965.52

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Solution

The fourth proportional to 4,561.65, 6,296.09 and 2,965.52 is: 4,093.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.65 : 6,296.09 = 2,965.52 : x
  2. Step 2: Convert to fraction form
    4,561.65/6,296.09 = 2,965.52/x
  3. Step 3: Cross multiply
    4,561.65x = 6,296.09 × 2,965.52
  4. Step 4: Simplify right side
    4,561.65x = 18,671,181.73
  5. Step 5: Solve for x
    x = 18,671,181.73/4,561.65
  6. Step 6: Final answer
    x = 4,093.08

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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.