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Finding the Fourth Proportional to 3,860.09, 5,756.24 and 3,825

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Solution

The fourth proportional to 3,860.09, 5,756.24 and 3,825 is: 5,703.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.09 : 5,756.24 = 3,825 : x
  2. Step 2: Convert to fraction form
    3,860.09/5,756.24 = 3,825/x
  3. Step 3: Cross multiply
    3,860.09x = 5,756.24 × 3,825
  4. Step 4: Simplify right side
    3,860.09x = 22,017,598.88
  5. Step 5: Solve for x
    x = 22,017,598.88/3,860.09
  6. Step 6: Final answer
    x = 5,703.92

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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.