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Finding the Fourth Proportional to 3,597.01, 4,964.10 and 2,180.82

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Solution

The fourth proportional to 3,597.01, 4,964.10 and 2,180.82 is: 3,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.01 : 4,964.10 = 2,180.82 : x
  2. Step 2: Convert to fraction form
    3,597.01/4,964.10 = 2,180.82/x
  3. Step 3: Cross multiply
    3,597.01x = 4,964.10 × 2,180.82
  4. Step 4: Simplify right side
    3,597.01x = 10,825,808.56
  5. Step 5: Solve for x
    x = 10,825,808.56/3,597.01
  6. Step 6: Final answer
    x = 3,009.67

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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.