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Finding the Fourth Proportional to 5,738.95, 8,602.27 and 2,964.88

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Solution

The fourth proportional to 5,738.95, 8,602.27 and 2,964.88 is: 4,444.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.95 : 8,602.27 = 2,964.88 : x
  2. Step 2: Convert to fraction form
    5,738.95/8,602.27 = 2,964.88/x
  3. Step 3: Cross multiply
    5,738.95x = 8,602.27 × 2,964.88
  4. Step 4: Simplify right side
    5,738.95x = 25,504,698.28
  5. Step 5: Solve for x
    x = 25,504,698.28/5,738.95
  6. Step 6: Final answer
    x = 4,444.14

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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.