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Finding the Fourth Proportional to 3,483.88, 5,222.46 and 1,174.12

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Solution

The fourth proportional to 3,483.88, 5,222.46 and 1,174.12 is: 1,760.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.88 : 5,222.46 = 1,174.12 : x
  2. Step 2: Convert to fraction form
    3,483.88/5,222.46 = 1,174.12/x
  3. Step 3: Cross multiply
    3,483.88x = 5,222.46 × 1,174.12
  4. Step 4: Simplify right side
    3,483.88x = 6,131,794.74
  5. Step 5: Solve for x
    x = 6,131,794.74/3,483.88
  6. Step 6: Final answer
    x = 1,760.05

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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.