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Finding the Fourth Proportional to 4,612.28, 6,913.94 and 1,838.88

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Solution

The fourth proportional to 4,612.28, 6,913.94 and 1,838.88 is: 2,756.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.28 : 6,913.94 = 1,838.88 : x
  2. Step 2: Convert to fraction form
    4,612.28/6,913.94 = 1,838.88/x
  3. Step 3: Cross multiply
    4,612.28x = 6,913.94 × 1,838.88
  4. Step 4: Simplify right side
    4,612.28x = 12,713,896.79
  5. Step 5: Solve for x
    x = 12,713,896.79/4,612.28
  6. Step 6: Final answer
    x = 2,756.53

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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.