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Finding the Fourth Proportional to 2,723.55, 3,804.75 and 2,723.55

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Solution

The fourth proportional to 2,723.55, 3,804.75 and 2,723.55 is: 3,804.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.55 : 3,804.75 = 2,723.55 : x
  2. Step 2: Convert to fraction form
    2,723.55/3,804.75 = 2,723.55/x
  3. Step 3: Cross multiply
    2,723.55x = 3,804.75 × 2,723.55
  4. Step 4: Simplify right side
    2,723.55x = 10,362,426.86
  5. Step 5: Solve for x
    x = 10,362,426.86/2,723.55
  6. Step 6: Final answer
    x = 3,804.75

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.