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Finding the Fourth Proportional to 3,341, 5,008.48 and 1,584.92

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Solution

The fourth proportional to 3,341, 5,008.48 and 1,584.92 is: 2,375.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,341 : 5,008.48 = 1,584.92 : x
  2. Step 2: Convert to fraction form
    3,341/5,008.48 = 1,584.92/x
  3. Step 3: Cross multiply
    3,341x = 5,008.48 × 1,584.92
  4. Step 4: Simplify right side
    3,341x = 7,938,040.12
  5. Step 5: Solve for x
    x = 7,938,040.12/3,341
  6. Step 6: Final answer
    x = 2,375.95

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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.