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Finding the Fourth Proportional to 3,505.54, 5,258.94 and 1,196.50

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Solution

The fourth proportional to 3,505.54, 5,258.94 and 1,196.50 is: 1,794.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.54 : 5,258.94 = 1,196.50 : x
  2. Step 2: Convert to fraction form
    3,505.54/5,258.94 = 1,196.50/x
  3. Step 3: Cross multiply
    3,505.54x = 5,258.94 × 1,196.50
  4. Step 4: Simplify right side
    3,505.54x = 6,292,321.71
  5. Step 5: Solve for x
    x = 6,292,321.71/3,505.54
  6. Step 6: Final answer
    x = 1,794.97

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1.5x scale

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.