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Finding the Fourth Proportional to 3,474.07, 5,211.42 and 1,133.98

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Solution

The fourth proportional to 3,474.07, 5,211.42 and 1,133.98 is: 1,701.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.07 : 5,211.42 = 1,133.98 : x
  2. Step 2: Convert to fraction form
    3,474.07/5,211.42 = 1,133.98/x
  3. Step 3: Cross multiply
    3,474.07x = 5,211.42 × 1,133.98
  4. Step 4: Simplify right side
    3,474.07x = 5,909,633.02
  5. Step 5: Solve for x
    x = 5,909,633.02/3,474.07
  6. Step 6: Final answer
    x = 1,701.07

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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.