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Finding the Fourth Proportional to 4,899.43, 6,762.29 and 3,012.64

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Solution

The fourth proportional to 4,899.43, 6,762.29 and 3,012.64 is: 4,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,899.43 : 6,762.29 = 3,012.64 : x
  2. Step 2: Convert to fraction form
    4,899.43/6,762.29 = 3,012.64/x
  3. Step 3: Cross multiply
    4,899.43x = 6,762.29 × 3,012.64
  4. Step 4: Simplify right side
    4,899.43x = 20,372,313.38
  5. Step 5: Solve for x
    x = 20,372,313.38/4,899.43
  6. Step 6: Final answer
    x = 4,158.10

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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.