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Finding the Fourth Proportional to 4,568.46, 6,298.73 and 3,728.31

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Solution

The fourth proportional to 4,568.46, 6,298.73 and 3,728.31 is: 5,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.46 : 6,298.73 = 3,728.31 : x
  2. Step 2: Convert to fraction form
    4,568.46/6,298.73 = 3,728.31/x
  3. Step 3: Cross multiply
    4,568.46x = 6,298.73 × 3,728.31
  4. Step 4: Simplify right side
    4,568.46x = 23,483,627.37
  5. Step 5: Solve for x
    x = 23,483,627.37/4,568.46
  6. Step 6: Final answer
    x = 5,140.38

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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.