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Finding the Fourth Proportional to 5,128.98, 7,649.74 and 5,040.19

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Solution

The fourth proportional to 5,128.98, 7,649.74 and 5,040.19 is: 7,517.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.98 : 7,649.74 = 5,040.19 : x
  2. Step 2: Convert to fraction form
    5,128.98/7,649.74 = 5,040.19/x
  3. Step 3: Cross multiply
    5,128.98x = 7,649.74 × 5,040.19
  4. Step 4: Simplify right side
    5,128.98x = 38,556,143.05
  5. Step 5: Solve for x
    x = 38,556,143.05/5,128.98
  6. Step 6: Final answer
    x = 7,517.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.