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Finding the Fourth Proportional to 3,317.75, 4,578.52 and 1,825.63

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Solution

The fourth proportional to 3,317.75, 4,578.52 and 1,825.63 is: 2,519.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,317.75 : 4,578.52 = 1,825.63 : x
  2. Step 2: Convert to fraction form
    3,317.75/4,578.52 = 1,825.63/x
  3. Step 3: Cross multiply
    3,317.75x = 4,578.52 × 1,825.63
  4. Step 4: Simplify right side
    3,317.75x = 8,358,685.79
  5. Step 5: Solve for x
    x = 8,358,685.79/3,317.75
  6. Step 6: Final answer
    x = 2,519.38

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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.