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Finding the Fourth Proportional to 3,597.14, 4,964.75 and 2,025.24

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Solution

The fourth proportional to 3,597.14, 4,964.75 and 2,025.24 is: 2,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.14 : 4,964.75 = 2,025.24 : x
  2. Step 2: Convert to fraction form
    3,597.14/4,964.75 = 2,025.24/x
  3. Step 3: Cross multiply
    3,597.14x = 4,964.75 × 2,025.24
  4. Step 4: Simplify right side
    3,597.14x = 10,054,800.16
  5. Step 5: Solve for x
    x = 10,054,800.16/3,597.14
  6. Step 6: Final answer
    x = 2,795.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.