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Finding the Fourth Proportional to 5,740.62, 7,913.07 and 3,750.18

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Solution

The fourth proportional to 5,740.62, 7,913.07 and 3,750.18 is: 5,169.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.62 : 7,913.07 = 3,750.18 : x
  2. Step 2: Convert to fraction form
    5,740.62/7,913.07 = 3,750.18/x
  3. Step 3: Cross multiply
    5,740.62x = 7,913.07 × 3,750.18
  4. Step 4: Simplify right side
    5,740.62x = 29,675,436.85
  5. Step 5: Solve for x
    x = 29,675,436.85/5,740.62
  6. Step 6: Final answer
    x = 5,169.38

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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.