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Finding the Fourth Proportional to 3,774.76, 5,647.56 and 2,536.27

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Solution

The fourth proportional to 3,774.76, 5,647.56 and 2,536.27 is: 3,794.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.76 : 5,647.56 = 2,536.27 : x
  2. Step 2: Convert to fraction form
    3,774.76/5,647.56 = 2,536.27/x
  3. Step 3: Cross multiply
    3,774.76x = 5,647.56 × 2,536.27
  4. Step 4: Simplify right side
    3,774.76x = 14,323,737.00
  5. Step 5: Solve for x
    x = 14,323,737.00/3,774.76
  6. Step 6: Final answer
    x = 3,794.61

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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.