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Finding the Fourth Proportional to 3,597.12, 4,964.16 and 2,025.12

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Solution

The fourth proportional to 3,597.12, 4,964.16 and 2,025.12 is: 2,794.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.12 : 4,964.16 = 2,025.12 : x
  2. Step 2: Convert to fraction form
    3,597.12/4,964.16 = 2,025.12/x
  3. Step 3: Cross multiply
    3,597.12x = 4,964.16 × 2,025.12
  4. Step 4: Simplify right side
    3,597.12x = 10,053,019.70
  5. Step 5: Solve for x
    x = 10,053,019.70/3,597.12
  6. Step 6: Final answer
    x = 2,794.74

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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.