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Finding the Fourth Proportional to 3,625.70, 5,438.55 and 1,894.10

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Solution

The fourth proportional to 3,625.70, 5,438.55 and 1,894.10 is: 2,841.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625.70 : 5,438.55 = 1,894.10 : x
  2. Step 2: Convert to fraction form
    3,625.70/5,438.55 = 1,894.10/x
  3. Step 3: Cross multiply
    3,625.70x = 5,438.55 × 1,894.10
  4. Step 4: Simplify right side
    3,625.70x = 10,301,157.56
  5. Step 5: Solve for x
    x = 10,301,157.56/3,625.70
  6. Step 6: Final answer
    x = 2,841.15

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