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Finding the Fourth Proportional to 3,164.97, 4,746.20 and 1,084.59

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Solution

The fourth proportional to 3,164.97, 4,746.20 and 1,084.59 is: 1,626.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.97 : 4,746.20 = 1,084.59 : x
  2. Step 2: Convert to fraction form
    3,164.97/4,746.20 = 1,084.59/x
  3. Step 3: Cross multiply
    3,164.97x = 4,746.20 × 1,084.59
  4. Step 4: Simplify right side
    3,164.97x = 5,147,675.64
  5. Step 5: Solve for x
    x = 5,147,675.64/3,164.97
  6. Step 6: Final answer
    x = 1,626.45

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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.