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Finding the Fourth Proportional to 6,083.60, 8,395.35 and 3,431.00

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Solution

The fourth proportional to 6,083.60, 8,395.35 and 3,431.00 is: 4,734.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.60 : 8,395.35 = 3,431.00 : x
  2. Step 2: Convert to fraction form
    6,083.60/8,395.35 = 3,431.00/x
  3. Step 3: Cross multiply
    6,083.60x = 8,395.35 × 3,431.00
  4. Step 4: Simplify right side
    6,083.60x = 28,804,403.87
  5. Step 5: Solve for x
    x = 28,804,403.87/6,083.60
  6. Step 6: Final answer
    x = 4,734.76

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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.