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Finding the Fourth Proportional to 5,970.78, 8,954.05 and 2,274.01

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Solution

The fourth proportional to 5,970.78, 8,954.05 and 2,274.01 is: 3,410.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.78 : 8,954.05 = 2,274.01 : x
  2. Step 2: Convert to fraction form
    5,970.78/8,954.05 = 2,274.01/x
  3. Step 3: Cross multiply
    5,970.78x = 8,954.05 × 2,274.01
  4. Step 4: Simplify right side
    5,970.78x = 20,361,599.24
  5. Step 5: Solve for x
    x = 20,361,599.24/5,970.78
  6. Step 6: Final answer
    x = 3,410.21

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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.