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Finding the Fourth Proportional to 3,856.67, 5,784.98 and 1,083.34

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Solution

The fourth proportional to 3,856.67, 5,784.98 and 1,083.34 is: 1,625.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.67 : 5,784.98 = 1,083.34 : x
  2. Step 2: Convert to fraction form
    3,856.67/5,784.98 = 1,083.34/x
  3. Step 3: Cross multiply
    3,856.67x = 5,784.98 × 1,083.34
  4. Step 4: Simplify right side
    3,856.67x = 6,267,100.23
  5. Step 5: Solve for x
    x = 6,267,100.23/3,856.67
  6. Step 6: Final answer
    x = 1,625.00

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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.