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Finding the Fourth Proportional to 3,813.75, 5,721.64 and 1,216.69

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Solution

The fourth proportional to 3,813.75, 5,721.64 and 1,216.69 is: 1,825.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.75 : 5,721.64 = 1,216.69 : x
  2. Step 2: Convert to fraction form
    3,813.75/5,721.64 = 1,216.69/x
  3. Step 3: Cross multiply
    3,813.75x = 5,721.64 × 1,216.69
  4. Step 4: Simplify right side
    3,813.75x = 6,961,444.83
  5. Step 5: Solve for x
    x = 6,961,444.83/3,813.75
  6. Step 6: Final answer
    x = 1,825.35

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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.