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Finding the Fourth Proportional to 3,506.88, 5,259 and 1,197.84

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Solution

The fourth proportional to 3,506.88, 5,259 and 1,197.84 is: 1,796.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.88 : 5,259 = 1,197.84 : x
  2. Step 2: Convert to fraction form
    3,506.88/5,259 = 1,197.84/x
  3. Step 3: Cross multiply
    3,506.88x = 5,259 × 1,197.84
  4. Step 4: Simplify right side
    3,506.88x = 6,299,440.56
  5. Step 5: Solve for x
    x = 6,299,440.56/3,506.88
  6. Step 6: Final answer
    x = 1,796.31

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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.