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Finding the Fourth Proportional to 3,083.84, 4,625.77 and 2,464.64

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Solution

The fourth proportional to 3,083.84, 4,625.77 and 2,464.64 is: 3,696.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.84 : 4,625.77 = 2,464.64 : x
  2. Step 2: Convert to fraction form
    3,083.84/4,625.77 = 2,464.64/x
  3. Step 3: Cross multiply
    3,083.84x = 4,625.77 × 2,464.64
  4. Step 4: Simplify right side
    3,083.84x = 11,400,863.18
  5. Step 5: Solve for x
    x = 11,400,863.18/3,083.84
  6. Step 6: Final answer
    x = 3,696.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.