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Finding the Fourth Proportional to 7,322.25, 10,984.76 and 2,940.05

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Solution

The fourth proportional to 7,322.25, 10,984.76 and 2,940.05 is: 4,410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.25 : 10,984.76 = 2,940.05 : x
  2. Step 2: Convert to fraction form
    7,322.25/10,984.76 = 2,940.05/x
  3. Step 3: Cross multiply
    7,322.25x = 10,984.76 × 2,940.05
  4. Step 4: Simplify right side
    7,322.25x = 32,295,674.01
  5. Step 5: Solve for x
    x = 32,295,674.01/7,322.25
  6. Step 6: Final answer
    x = 4,410.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.