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Finding the Fourth Proportional to 3,708.81, 5,563.21 and 1,111.74

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Solution

The fourth proportional to 3,708.81, 5,563.21 and 1,111.74 is: 1,667.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.81 : 5,563.21 = 1,111.74 : x
  2. Step 2: Convert to fraction form
    3,708.81/5,563.21 = 1,111.74/x
  3. Step 3: Cross multiply
    3,708.81x = 5,563.21 × 1,111.74
  4. Step 4: Simplify right side
    3,708.81x = 6,184,843.09
  5. Step 5: Solve for x
    x = 6,184,843.09/3,708.81
  6. Step 6: Final answer
    x = 1,667.61

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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.