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Finding the Fourth Proportional to 2,745.82, 4,138.45 and 2,587.06

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Solution

The fourth proportional to 2,745.82, 4,138.45 and 2,587.06 is: 3,899.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.82 : 4,138.45 = 2,587.06 : x
  2. Step 2: Convert to fraction form
    2,745.82/4,138.45 = 2,587.06/x
  3. Step 3: Cross multiply
    2,745.82x = 4,138.45 × 2,587.06
  4. Step 4: Simplify right side
    2,745.82x = 10,706,418.46
  5. Step 5: Solve for x
    x = 10,706,418.46/2,745.82
  6. Step 6: Final answer
    x = 3,899.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.