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Finding the Fourth Proportional to 3,973.99, 5,959.06 and 1,200.15

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Solution

The fourth proportional to 3,973.99, 5,959.06 and 1,200.15 is: 1,799.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.99 : 5,959.06 = 1,200.15 : x
  2. Step 2: Convert to fraction form
    3,973.99/5,959.06 = 1,200.15/x
  3. Step 3: Cross multiply
    3,973.99x = 5,959.06 × 1,200.15
  4. Step 4: Simplify right side
    3,973.99x = 7,151,765.86
  5. Step 5: Solve for x
    x = 7,151,765.86/3,973.99
  6. Step 6: Final answer
    x = 1,799.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.