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Finding the Fourth Proportional to 4,683.37, 6,429.20 and 4,019.06

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Solution

The fourth proportional to 4,683.37, 6,429.20 and 4,019.06 is: 5,517.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.37 : 6,429.20 = 4,019.06 : x
  2. Step 2: Convert to fraction form
    4,683.37/6,429.20 = 4,019.06/x
  3. Step 3: Cross multiply
    4,683.37x = 6,429.20 × 4,019.06
  4. Step 4: Simplify right side
    4,683.37x = 25,839,340.55
  5. Step 5: Solve for x
    x = 25,839,340.55/4,683.37
  6. Step 6: Final answer
    x = 5,517.26

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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.