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Finding the Fourth Proportional to 4,477.50, 6,716.28 and 1,399.50

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Solution

The fourth proportional to 4,477.50, 6,716.28 and 1,399.50 is: 2,099.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.50 : 6,716.28 = 1,399.50 : x
  2. Step 2: Convert to fraction form
    4,477.50/6,716.28 = 1,399.50/x
  3. Step 3: Cross multiply
    4,477.50x = 6,716.28 × 1,399.50
  4. Step 4: Simplify right side
    4,477.50x = 9,399,433.86
  5. Step 5: Solve for x
    x = 9,399,433.86/4,477.50
  6. Step 6: Final answer
    x = 2,099.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.