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Finding the Fourth Proportional to 3,868.47, 5,813.42 and 3,774.69

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Solution

The fourth proportional to 3,868.47, 5,813.42 and 3,774.69 is: 5,672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.47 : 5,813.42 = 3,774.69 : x
  2. Step 2: Convert to fraction form
    3,868.47/5,813.42 = 3,774.69/x
  3. Step 3: Cross multiply
    3,868.47x = 5,813.42 × 3,774.69
  4. Step 4: Simplify right side
    3,868.47x = 21,943,839.47
  5. Step 5: Solve for x
    x = 21,943,839.47/3,868.47
  6. Step 6: Final answer
    x = 5,672.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.