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Finding the Fourth Proportional to 3,886.26, 5,829.43 and 3,111.19

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Solution

The fourth proportional to 3,886.26, 5,829.43 and 3,111.19 is: 4,666.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.26 : 5,829.43 = 3,111.19 : x
  2. Step 2: Convert to fraction form
    3,886.26/5,829.43 = 3,111.19/x
  3. Step 3: Cross multiply
    3,886.26x = 5,829.43 × 3,111.19
  4. Step 4: Simplify right side
    3,886.26x = 18,136,464.32
  5. Step 5: Solve for x
    x = 18,136,464.32/3,886.26
  6. Step 6: Final answer
    x = 4,666.82

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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.