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Finding the Fourth Proportional to 3,837.51, 5,294.10 and 2,511.15

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Solution

The fourth proportional to 3,837.51, 5,294.10 and 2,511.15 is: 3,464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.51 : 5,294.10 = 2,511.15 : x
  2. Step 2: Convert to fraction form
    3,837.51/5,294.10 = 2,511.15/x
  3. Step 3: Cross multiply
    3,837.51x = 5,294.10 × 2,511.15
  4. Step 4: Simplify right side
    3,837.51x = 13,294,279.22
  5. Step 5: Solve for x
    x = 13,294,279.22/3,837.51
  6. Step 6: Final answer
    x = 3,464.30

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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.