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Finding the Fourth Proportional to 4,064.93, 5,609.56 and 2,296.47

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Solution

The fourth proportional to 4,064.93, 5,609.56 and 2,296.47 is: 3,169.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064.93 : 5,609.56 = 2,296.47 : x
  2. Step 2: Convert to fraction form
    4,064.93/5,609.56 = 2,296.47/x
  3. Step 3: Cross multiply
    4,064.93x = 5,609.56 × 2,296.47
  4. Step 4: Simplify right side
    4,064.93x = 12,882,186.25
  5. Step 5: Solve for x
    x = 12,882,186.25/4,064.93
  6. Step 6: Final answer
    x = 3,169.10

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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.