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Finding the Fourth Proportional to 7,035.48, 9,708.48 and 3,891.78

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Solution

The fourth proportional to 7,035.48, 9,708.48 and 3,891.78 is: 5,370.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.48 : 9,708.48 = 3,891.78 : x
  2. Step 2: Convert to fraction form
    7,035.48/9,708.48 = 3,891.78/x
  3. Step 3: Cross multiply
    7,035.48x = 9,708.48 × 3,891.78
  4. Step 4: Simplify right side
    7,035.48x = 37,783,268.29
  5. Step 5: Solve for x
    x = 37,783,268.29/7,035.48
  6. Step 6: Final answer
    x = 5,370.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.