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Finding the Fourth Proportional to 3,443.16, 5,164.56 and 846

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Solution

The fourth proportional to 3,443.16, 5,164.56 and 846 is: 1,268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.16 : 5,164.56 = 846 : x
  2. Step 2: Convert to fraction form
    3,443.16/5,164.56 = 846/x
  3. Step 3: Cross multiply
    3,443.16x = 5,164.56 × 846
  4. Step 4: Simplify right side
    3,443.16x = 4,369,217.76
  5. Step 5: Solve for x
    x = 4,369,217.76/3,443.16
  6. Step 6: Final answer
    x = 1,268.96

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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.