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Finding the Fourth Proportional to 4,378, 6,024.36 and 3,325.84

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Solution

The fourth proportional to 4,378, 6,024.36 and 3,325.84 is: 4,576.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,378 : 6,024.36 = 3,325.84 : x
  2. Step 2: Convert to fraction form
    4,378/6,024.36 = 3,325.84/x
  3. Step 3: Cross multiply
    4,378x = 6,024.36 × 3,325.84
  4. Step 4: Simplify right side
    4,378x = 20,036,057.46
  5. Step 5: Solve for x
    x = 20,036,057.46/4,378
  6. Step 6: Final answer
    x = 4,576.53

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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.