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Finding the Fourth Proportional to 4,408.98, 6,084.38 and 2,419.50

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Solution

The fourth proportional to 4,408.98, 6,084.38 and 2,419.50 is: 3,338.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,408.98 : 6,084.38 = 2,419.50 : x
  2. Step 2: Convert to fraction form
    4,408.98/6,084.38 = 2,419.50/x
  3. Step 3: Cross multiply
    4,408.98x = 6,084.38 × 2,419.50
  4. Step 4: Simplify right side
    4,408.98x = 14,721,157.41
  5. Step 5: Solve for x
    x = 14,721,157.41/4,408.98
  6. Step 6: Final answer
    x = 3,338.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.