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Finding the Fourth Proportional to 5,440, 7,520 and 4,954.24

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Solution

The fourth proportional to 5,440, 7,520 and 4,954.24 is: 6,848.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,440 : 7,520 = 4,954.24 : x
  2. Step 2: Convert to fraction form
    5,440/7,520 = 4,954.24/x
  3. Step 3: Cross multiply
    5,440x = 7,520 × 4,954.24
  4. Step 4: Simplify right side
    5,440x = 37,255,884.80
  5. Step 5: Solve for x
    x = 37,255,884.80/5,440
  6. Step 6: Final answer
    x = 6,848.51

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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.