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Finding the Fourth Proportional to 3,786.21, 5,218.40 and 3,567.51

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Solution

The fourth proportional to 3,786.21, 5,218.40 and 3,567.51 is: 4,916.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.21 : 5,218.40 = 3,567.51 : x
  2. Step 2: Convert to fraction form
    3,786.21/5,218.40 = 3,567.51/x
  3. Step 3: Cross multiply
    3,786.21x = 5,218.40 × 3,567.51
  4. Step 4: Simplify right side
    3,786.21x = 18,616,703.10
  5. Step 5: Solve for x
    x = 18,616,703.10/3,786.21
  6. Step 6: Final answer
    x = 4,916.98

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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.