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Finding the Fourth Proportional to 6,409.94, 8,845.13 and 3,577.06

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Solution

The fourth proportional to 6,409.94, 8,845.13 and 3,577.06 is: 4,936.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.94 : 8,845.13 = 3,577.06 : x
  2. Step 2: Convert to fraction form
    6,409.94/8,845.13 = 3,577.06/x
  3. Step 3: Cross multiply
    6,409.94x = 8,845.13 × 3,577.06
  4. Step 4: Simplify right side
    6,409.94x = 31,639,580.72
  5. Step 5: Solve for x
    x = 31,639,580.72/6,409.94
  6. Step 6: Final answer
    x = 4,936.02

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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.