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Finding the Fourth Proportional to 3,674.22, 5,510.52 and 1,077.36

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Solution

The fourth proportional to 3,674.22, 5,510.52 and 1,077.36 is: 1,615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.22 : 5,510.52 = 1,077.36 : x
  2. Step 2: Convert to fraction form
    3,674.22/5,510.52 = 1,077.36/x
  3. Step 3: Cross multiply
    3,674.22x = 5,510.52 × 1,077.36
  4. Step 4: Simplify right side
    3,674.22x = 5,936,813.83
  5. Step 5: Solve for x
    x = 5,936,813.83/3,674.22
  6. Step 6: Final answer
    x = 1,615.80

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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.