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Finding the Fourth Proportional to 3,674.40, 5,511.56 and 1,077.24

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Solution

The fourth proportional to 3,674.40, 5,511.56 and 1,077.24 is: 1,615.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.40 : 5,511.56 = 1,077.24 : x
  2. Step 2: Convert to fraction form
    3,674.40/5,511.56 = 1,077.24/x
  3. Step 3: Cross multiply
    3,674.40x = 5,511.56 × 1,077.24
  4. Step 4: Simplify right side
    3,674.40x = 5,937,272.89
  5. Step 5: Solve for x
    x = 5,937,272.89/3,674.40
  6. Step 6: Final answer
    x = 1,615.85

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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.