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Finding the Fourth Proportional to 6,409.65, 8,845.29 and 3,577.26

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Solution

The fourth proportional to 6,409.65, 8,845.29 and 3,577.26 is: 4,936.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.65 : 8,845.29 = 3,577.26 : x
  2. Step 2: Convert to fraction form
    6,409.65/8,845.29 = 3,577.26/x
  3. Step 3: Cross multiply
    6,409.65x = 8,845.29 × 3,577.26
  4. Step 4: Simplify right side
    6,409.65x = 31,641,902.11
  5. Step 5: Solve for x
    x = 31,641,902.11/6,409.65
  6. Step 6: Final answer
    x = 4,936.60

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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.