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Finding the Fourth Proportional to 5,651.11, 7,798.74 and 3,412.55

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Solution

The fourth proportional to 5,651.11, 7,798.74 and 3,412.55 is: 4,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.11 : 7,798.74 = 3,412.55 : x
  2. Step 2: Convert to fraction form
    5,651.11/7,798.74 = 3,412.55/x
  3. Step 3: Cross multiply
    5,651.11x = 7,798.74 × 3,412.55
  4. Step 4: Simplify right side
    5,651.11x = 26,613,573.12
  5. Step 5: Solve for x
    x = 26,613,573.12/5,651.11
  6. Step 6: Final answer
    x = 4,709.44

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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.