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Finding the Fourth Proportional to 5,650.88, 7,798.49 and 3,412.71

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Solution

The fourth proportional to 5,650.88, 7,798.49 and 3,412.71 is: 4,709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650.88 : 7,798.49 = 3,412.71 : x
  2. Step 2: Convert to fraction form
    5,650.88/7,798.49 = 3,412.71/x
  3. Step 3: Cross multiply
    5,650.88x = 7,798.49 × 3,412.71
  4. Step 4: Simplify right side
    5,650.88x = 26,613,984.81
  5. Step 5: Solve for x
    x = 26,613,984.81/5,650.88
  6. Step 6: Final answer
    x = 4,709.71

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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.