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Finding the Fourth Proportional to 5,540.07, 7,678.31 and 5,436.39

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Solution

The fourth proportional to 5,540.07, 7,678.31 and 5,436.39 is: 7,534.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,540.07 : 7,678.31 = 5,436.39 : x
  2. Step 2: Convert to fraction form
    5,540.07/7,678.31 = 5,436.39/x
  3. Step 3: Cross multiply
    5,540.07x = 7,678.31 × 5,436.39
  4. Step 4: Simplify right side
    5,540.07x = 41,742,287.70
  5. Step 5: Solve for x
    x = 41,742,287.70/5,540.07
  6. Step 6: Final answer
    x = 7,534.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.