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Finding the Fourth Proportional to 4,100, 5,658 and 2,628

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Solution

The fourth proportional to 4,100, 5,658 and 2,628 is: 3,626.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100 : 5,658 = 2,628 : x
  2. Step 2: Convert to fraction form
    4,100/5,658 = 2,628/x
  3. Step 3: Cross multiply
    4,100x = 5,658 × 2,628
  4. Step 4: Simplify right side
    4,100x = 14,869,224
  5. Step 5: Solve for x
    x = 14,869,224/4,100
  6. Step 6: Final answer
    x = 3,626.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.