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Finding the Fourth Proportional to 4,409.65, 6,617.45 and 1,636.44

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Solution

The fourth proportional to 4,409.65, 6,617.45 and 1,636.44 is: 2,455.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.65 : 6,617.45 = 1,636.44 : x
  2. Step 2: Convert to fraction form
    4,409.65/6,617.45 = 1,636.44/x
  3. Step 3: Cross multiply
    4,409.65x = 6,617.45 × 1,636.44
  4. Step 4: Simplify right side
    4,409.65x = 10,829,059.88
  5. Step 5: Solve for x
    x = 10,829,059.88/4,409.65
  6. Step 6: Final answer
    x = 2,455.76

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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.