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Finding the Fourth Proportional to 4,509, 6,223.05 and 2,940.48

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Solution

The fourth proportional to 4,509, 6,223.05 and 2,940.48 is: 4,058.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509 : 6,223.05 = 2,940.48 : x
  2. Step 2: Convert to fraction form
    4,509/6,223.05 = 2,940.48/x
  3. Step 3: Cross multiply
    4,509x = 6,223.05 × 2,940.48
  4. Step 4: Simplify right side
    4,509x = 18,298,754.06
  5. Step 5: Solve for x
    x = 18,298,754.06/4,509
  6. Step 6: Final answer
    x = 4,058.27

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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.