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Finding the Fourth Proportional to 3,674.69, 5,511.99 and 901.34

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Solution

The fourth proportional to 3,674.69, 5,511.99 and 901.34 is: 1,351.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.69 : 5,511.99 = 901.34 : x
  2. Step 2: Convert to fraction form
    3,674.69/5,511.99 = 901.34/x
  3. Step 3: Cross multiply
    3,674.69x = 5,511.99 × 901.34
  4. Step 4: Simplify right side
    3,674.69x = 4,968,152.89
  5. Step 5: Solve for x
    x = 4,968,152.89/3,674.69
  6. Step 6: Final answer
    x = 1,351.99

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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.