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Finding the Fourth Proportional to 3,884.51, 5,827.55 and 1,111.21

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Solution

The fourth proportional to 3,884.51, 5,827.55 and 1,111.21 is: 1,667.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.51 : 5,827.55 = 1,111.21 : x
  2. Step 2: Convert to fraction form
    3,884.51/5,827.55 = 1,111.21/x
  3. Step 3: Cross multiply
    3,884.51x = 5,827.55 × 1,111.21
  4. Step 4: Simplify right side
    3,884.51x = 6,475,611.71
  5. Step 5: Solve for x
    x = 6,475,611.71/3,884.51
  6. Step 6: Final answer
    x = 1,667.03

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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.