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Finding the Fourth Proportional to 6,409.85, 8,845.41 and 3,577.24

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Solution

The fourth proportional to 6,409.85, 8,845.41 and 3,577.24 is: 4,936.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.85 : 8,845.41 = 3,577.24 : x
  2. Step 2: Convert to fraction form
    6,409.85/8,845.41 = 3,577.24/x
  3. Step 3: Cross multiply
    6,409.85x = 8,845.41 × 3,577.24
  4. Step 4: Simplify right side
    6,409.85x = 31,642,154.47
  5. Step 5: Solve for x
    x = 31,642,154.47/6,409.85
  6. Step 6: Final answer
    x = 4,936.49

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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.