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Finding the Fourth Proportional to 3,683.56, 5,525.72 and 1,218.48

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Solution

The fourth proportional to 3,683.56, 5,525.72 and 1,218.48 is: 1,827.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.56 : 5,525.72 = 1,218.48 : x
  2. Step 2: Convert to fraction form
    3,683.56/5,525.72 = 1,218.48/x
  3. Step 3: Cross multiply
    3,683.56x = 5,525.72 × 1,218.48
  4. Step 4: Simplify right side
    3,683.56x = 6,732,979.31
  5. Step 5: Solve for x
    x = 6,732,979.31/3,683.56
  6. Step 6: Final answer
    x = 1,827.85

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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.