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Finding the Fourth Proportional to 5,097.86, 7,035.02 and 3,108.41

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Solution

The fourth proportional to 5,097.86, 7,035.02 and 3,108.41 is: 4,289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.86 : 7,035.02 = 3,108.41 : x
  2. Step 2: Convert to fraction form
    5,097.86/7,035.02 = 3,108.41/x
  3. Step 3: Cross multiply
    5,097.86x = 7,035.02 × 3,108.41
  4. Step 4: Simplify right side
    5,097.86x = 21,867,675.80
  5. Step 5: Solve for x
    x = 21,867,675.80/5,097.86
  6. Step 6: Final answer
    x = 4,289.58

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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.