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Finding the Fourth Proportional to 5,419.37, 7,450.03 and 4,660.37

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Solution

The fourth proportional to 5,419.37, 7,450.03 and 4,660.37 is: 6,406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.37 : 7,450.03 = 4,660.37 : x
  2. Step 2: Convert to fraction form
    5,419.37/7,450.03 = 4,660.37/x
  3. Step 3: Cross multiply
    5,419.37x = 7,450.03 × 4,660.37
  4. Step 4: Simplify right side
    5,419.37x = 34,719,866.61
  5. Step 5: Solve for x
    x = 34,719,866.61/5,419.37
  6. Step 6: Final answer
    x = 6,406.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.