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Finding the Fourth Proportional to 4,713.94, 7,073.94 and 2,523.28

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Solution

The fourth proportional to 4,713.94, 7,073.94 and 2,523.28 is: 3,786.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.94 : 7,073.94 = 2,523.28 : x
  2. Step 2: Convert to fraction form
    4,713.94/7,073.94 = 2,523.28/x
  3. Step 3: Cross multiply
    4,713.94x = 7,073.94 × 2,523.28
  4. Step 4: Simplify right side
    4,713.94x = 17,849,531.32
  5. Step 5: Solve for x
    x = 17,849,531.32/4,713.94
  6. Step 6: Final answer
    x = 3,786.54

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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.