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Finding the Fourth Proportional to 5,367.85, 7,408.06 and 2,978.06

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Solution

The fourth proportional to 5,367.85, 7,408.06 and 2,978.06 is: 4,109.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.85 : 7,408.06 = 2,978.06 : x
  2. Step 2: Convert to fraction form
    5,367.85/7,408.06 = 2,978.06/x
  3. Step 3: Cross multiply
    5,367.85x = 7,408.06 × 2,978.06
  4. Step 4: Simplify right side
    5,367.85x = 22,061,623.11
  5. Step 5: Solve for x
    x = 22,061,623.11/5,367.85
  6. Step 6: Final answer
    x = 4,109.96

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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.