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Finding the Fourth Proportional to 5,459, 7,533.44 and 2,975

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Solution

The fourth proportional to 5,459, 7,533.44 and 2,975 is: 4,105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459 : 7,533.44 = 2,975 : x
  2. Step 2: Convert to fraction form
    5,459/7,533.44 = 2,975/x
  3. Step 3: Cross multiply
    5,459x = 7,533.44 × 2,975
  4. Step 4: Simplify right side
    5,459x = 22,411,984
  5. Step 5: Solve for x
    x = 22,411,984/5,459
  6. Step 6: Final answer
    x = 4,105.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.