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Finding the Fourth Proportional to 4,744.71, 7,102.49 and 4,044.87

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Solution

The fourth proportional to 4,744.71, 7,102.49 and 4,044.87 is: 6,054.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.71 : 7,102.49 = 4,044.87 : x
  2. Step 2: Convert to fraction form
    4,744.71/7,102.49 = 4,044.87/x
  3. Step 3: Cross multiply
    4,744.71x = 7,102.49 × 4,044.87
  4. Step 4: Simplify right side
    4,744.71x = 28,728,628.50
  5. Step 5: Solve for x
    x = 28,728,628.50/4,744.71
  6. Step 6: Final answer
    x = 6,054.88

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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.