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Finding the Fourth Proportional to 4,408.70, 6,084.10 and 2,419.14

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Solution

The fourth proportional to 4,408.70, 6,084.10 and 2,419.14 is: 3,338.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,408.70 : 6,084.10 = 2,419.14 : x
  2. Step 2: Convert to fraction form
    4,408.70/6,084.10 = 2,419.14/x
  3. Step 3: Cross multiply
    4,408.70x = 6,084.10 × 2,419.14
  4. Step 4: Simplify right side
    4,408.70x = 14,718,289.67
  5. Step 5: Solve for x
    x = 14,718,289.67/4,408.70
  6. Step 6: Final answer
    x = 3,338.46

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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.