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Finding the Fourth Proportional to 3,597.44, 4,964.44 and 2,004.07

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Solution

The fourth proportional to 3,597.44, 4,964.44 and 2,004.07 is: 2,765.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.44 : 4,964.44 = 2,004.07 : x
  2. Step 2: Convert to fraction form
    3,597.44/4,964.44 = 2,004.07/x
  3. Step 3: Cross multiply
    3,597.44x = 4,964.44 × 2,004.07
  4. Step 4: Simplify right side
    3,597.44x = 9,949,075.25
  5. Step 5: Solve for x
    x = 9,949,075.25/3,597.44
  6. Step 6: Final answer
    x = 2,765.60

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Why These Related Problems?

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