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Finding the Fourth Proportional to 6,257.69, 8,634.55 and 3,740.81

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Solution

The fourth proportional to 6,257.69, 8,634.55 and 3,740.81 is: 5,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.69 : 8,634.55 = 3,740.81 : x
  2. Step 2: Convert to fraction form
    6,257.69/8,634.55 = 3,740.81/x
  3. Step 3: Cross multiply
    6,257.69x = 8,634.55 × 3,740.81
  4. Step 4: Simplify right side
    6,257.69x = 32,300,192.28
  5. Step 5: Solve for x
    x = 32,300,192.28/6,257.69
  6. Step 6: Final answer
    x = 5,161.68

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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.