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Finding the Fourth Proportional to 3,647.74, 5,033.76 and 2,054.48

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Solution

The fourth proportional to 3,647.74, 5,033.76 and 2,054.48 is: 2,835.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.74 : 5,033.76 = 2,054.48 : x
  2. Step 2: Convert to fraction form
    3,647.74/5,033.76 = 2,054.48/x
  3. Step 3: Cross multiply
    3,647.74x = 5,033.76 × 2,054.48
  4. Step 4: Simplify right side
    3,647.74x = 10,341,759.24
  5. Step 5: Solve for x
    x = 10,341,759.24/3,647.74
  6. Step 6: Final answer
    x = 2,835.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.