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Finding the Fourth Proportional to 3,613.07, 5,415.16 and 2,054.38

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Solution

The fourth proportional to 3,613.07, 5,415.16 and 2,054.38 is: 3,079.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.07 : 5,415.16 = 2,054.38 : x
  2. Step 2: Convert to fraction form
    3,613.07/5,415.16 = 2,054.38/x
  3. Step 3: Cross multiply
    3,613.07x = 5,415.16 × 2,054.38
  4. Step 4: Simplify right side
    3,613.07x = 11,124,769.33
  5. Step 5: Solve for x
    x = 11,124,769.33/3,613.07
  6. Step 6: Final answer
    x = 3,079.04

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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.