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Finding the Fourth Proportional to 3,078.74, 4,238.90 and 2,798.11

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Solution

The fourth proportional to 3,078.74, 4,238.90 and 2,798.11 is: 3,852.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.74 : 4,238.90 = 2,798.11 : x
  2. Step 2: Convert to fraction form
    3,078.74/4,238.90 = 2,798.11/x
  3. Step 3: Cross multiply
    3,078.74x = 4,238.90 × 2,798.11
  4. Step 4: Simplify right side
    3,078.74x = 11,860,910.28
  5. Step 5: Solve for x
    x = 11,860,910.28/3,078.74
  6. Step 6: Final answer
    x = 3,852.52

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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.