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Finding the Fourth Proportional to 4,894.42, 7,342.04 and 1,384.44

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Solution

The fourth proportional to 4,894.42, 7,342.04 and 1,384.44 is: 2,076.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.42 : 7,342.04 = 1,384.44 : x
  2. Step 2: Convert to fraction form
    4,894.42/7,342.04 = 1,384.44/x
  3. Step 3: Cross multiply
    4,894.42x = 7,342.04 × 1,384.44
  4. Step 4: Simplify right side
    4,894.42x = 10,164,617.32
  5. Step 5: Solve for x
    x = 10,164,617.32/4,894.42
  6. Step 6: Final answer
    x = 2,076.78

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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.