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Finding the Fourth Proportional to 4,584, 6,878.07 and 2,636.22

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Solution

The fourth proportional to 4,584, 6,878.07 and 2,636.22 is: 3,955.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584 : 6,878.07 = 2,636.22 : x
  2. Step 2: Convert to fraction form
    4,584/6,878.07 = 2,636.22/x
  3. Step 3: Cross multiply
    4,584x = 6,878.07 × 2,636.22
  4. Step 4: Simplify right side
    4,584x = 18,132,105.70
  5. Step 5: Solve for x
    x = 18,132,105.70/4,584
  6. Step 6: Final answer
    x = 3,955.52

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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.