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Finding the Fourth Proportional to 4,083.94, 6,128.16 and 2,443.60

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Solution

The fourth proportional to 4,083.94, 6,128.16 and 2,443.60 is: 3,666.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.94 : 6,128.16 = 2,443.60 : x
  2. Step 2: Convert to fraction form
    4,083.94/6,128.16 = 2,443.60/x
  3. Step 3: Cross multiply
    4,083.94x = 6,128.16 × 2,443.60
  4. Step 4: Simplify right side
    4,083.94x = 14,974,771.78
  5. Step 5: Solve for x
    x = 14,974,771.78/4,083.94
  6. Step 6: Final answer
    x = 3,666.75

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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.