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Finding the Fourth Proportional to 4,896.63, 7,346.43 and 1,433.88

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Solution

The fourth proportional to 4,896.63, 7,346.43 and 1,433.88 is: 2,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.63 : 7,346.43 = 1,433.88 : x
  2. Step 2: Convert to fraction form
    4,896.63/7,346.43 = 1,433.88/x
  3. Step 3: Cross multiply
    4,896.63x = 7,346.43 × 1,433.88
  4. Step 4: Simplify right side
    4,896.63x = 10,533,899.05
  5. Step 5: Solve for x
    x = 10,533,899.05/4,896.63
  6. Step 6: Final answer
    x = 2,151.25

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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.