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Finding the Fourth Proportional to 3,597.50, 4,964.16 and 2,025.32

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Solution

The fourth proportional to 3,597.50, 4,964.16 and 2,025.32 is: 2,794.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.50 : 4,964.16 = 2,025.32 : x
  2. Step 2: Convert to fraction form
    3,597.50/4,964.16 = 2,025.32/x
  3. Step 3: Cross multiply
    3,597.50x = 4,964.16 × 2,025.32
  4. Step 4: Simplify right side
    3,597.50x = 10,054,012.53
  5. Step 5: Solve for x
    x = 10,054,012.53/3,597.50
  6. Step 6: Final answer
    x = 2,794.72

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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.