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Finding the Fourth Proportional to 5,378, 7,422.46 and 3,283.34

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Solution

The fourth proportional to 5,378, 7,422.46 and 3,283.34 is: 4,531.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378 : 7,422.46 = 3,283.34 : x
  2. Step 2: Convert to fraction form
    5,378/7,422.46 = 3,283.34/x
  3. Step 3: Cross multiply
    5,378x = 7,422.46 × 3,283.34
  4. Step 4: Simplify right side
    5,378x = 24,370,459.82
  5. Step 5: Solve for x
    x = 24,370,459.82/5,378
  6. Step 6: Final answer
    x = 4,531.51

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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.