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Finding the Fourth Proportional to 5,401.63, 8,104.80 and 1,894.15

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Solution

The fourth proportional to 5,401.63, 8,104.80 and 1,894.15 is: 2,842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,401.63 : 8,104.80 = 1,894.15 : x
  2. Step 2: Convert to fraction form
    5,401.63/8,104.80 = 1,894.15/x
  3. Step 3: Cross multiply
    5,401.63x = 8,104.80 × 1,894.15
  4. Step 4: Simplify right side
    5,401.63x = 15,351,706.92
  5. Step 5: Solve for x
    x = 15,351,706.92/5,401.63
  6. Step 6: Final answer
    x = 2,842.05

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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.