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Finding the Fourth Proportional to 3,597.54, 4,964.38 and 2,025.60

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Solution

The fourth proportional to 3,597.54, 4,964.38 and 2,025.60 is: 2,795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.54 : 4,964.38 = 2,025.60 : x
  2. Step 2: Convert to fraction form
    3,597.54/4,964.38 = 2,025.60/x
  3. Step 3: Cross multiply
    3,597.54x = 4,964.38 × 2,025.60
  4. Step 4: Simplify right side
    3,597.54x = 10,055,848.13
  5. Step 5: Solve for x
    x = 10,055,848.13/3,597.54
  6. Step 6: Final answer
    x = 2,795.20

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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.