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Finding the Fourth Proportional to 6,412.80, 8,849.71 and 3,760.26

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Solution

The fourth proportional to 6,412.80, 8,849.71 and 3,760.26 is: 5,189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.80 : 8,849.71 = 3,760.26 : x
  2. Step 2: Convert to fraction form
    6,412.80/8,849.71 = 3,760.26/x
  3. Step 3: Cross multiply
    6,412.80x = 8,849.71 × 3,760.26
  4. Step 4: Simplify right side
    6,412.80x = 33,277,160.89
  5. Step 5: Solve for x
    x = 33,277,160.89/6,412.80
  6. Step 6: Final answer
    x = 5,189.17

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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.