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Finding the Fourth Proportional to 5,026.34, 6,936.35 and 2,788.14

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Solution

The fourth proportional to 5,026.34, 6,936.35 and 2,788.14 is: 3,847.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,026.34 : 6,936.35 = 2,788.14 : x
  2. Step 2: Convert to fraction form
    5,026.34/6,936.35 = 2,788.14/x
  3. Step 3: Cross multiply
    5,026.34x = 6,936.35 × 2,788.14
  4. Step 4: Simplify right side
    5,026.34x = 19,339,514.89
  5. Step 5: Solve for x
    x = 19,339,514.89/5,026.34
  6. Step 6: Final answer
    x = 3,847.63

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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.