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Finding the Fourth Proportional to 4,894.10, 7,340.99 and 1,196.35

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Solution

The fourth proportional to 4,894.10, 7,340.99 and 1,196.35 is: 1,794.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.10 : 7,340.99 = 1,196.35 : x
  2. Step 2: Convert to fraction form
    4,894.10/7,340.99 = 1,196.35/x
  3. Step 3: Cross multiply
    4,894.10x = 7,340.99 × 1,196.35
  4. Step 4: Simplify right side
    4,894.10x = 8,782,393.39
  5. Step 5: Solve for x
    x = 8,782,393.39/4,894.10
  6. Step 6: Final answer
    x = 1,794.49

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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.