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Finding the Fourth Proportional to 4,408.64, 6,083.97 and 2,419.15

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Solution

The fourth proportional to 4,408.64, 6,083.97 and 2,419.15 is: 3,338.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,408.64 : 6,083.97 = 2,419.15 : x
  2. Step 2: Convert to fraction form
    4,408.64/6,083.97 = 2,419.15/x
  3. Step 3: Cross multiply
    4,408.64x = 6,083.97 × 2,419.15
  4. Step 4: Simplify right side
    4,408.64x = 14,718,036.03
  5. Step 5: Solve for x
    x = 14,718,036.03/4,408.64
  6. Step 6: Final answer
    x = 3,338.45

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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.