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Finding the Fourth Proportional to 4,064.96, 5,609.67 and 2,296.46

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Solution

The fourth proportional to 4,064.96, 5,609.67 and 2,296.46 is: 3,169.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064.96 : 5,609.67 = 2,296.46 : x
  2. Step 2: Convert to fraction form
    4,064.96/5,609.67 = 2,296.46/x
  3. Step 3: Cross multiply
    4,064.96x = 5,609.67 × 2,296.46
  4. Step 4: Simplify right side
    4,064.96x = 12,882,382.77
  5. Step 5: Solve for x
    x = 12,882,382.77/4,064.96
  6. Step 6: Final answer
    x = 3,169.13

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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.