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Finding the Fourth Proportional to 4,751.98, 6,557.79 and 2,627.80

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Solution

The fourth proportional to 4,751.98, 6,557.79 and 2,627.80 is: 3,626.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.98 : 6,557.79 = 2,627.80 : x
  2. Step 2: Convert to fraction form
    4,751.98/6,557.79 = 2,627.80/x
  3. Step 3: Cross multiply
    4,751.98x = 6,557.79 × 2,627.80
  4. Step 4: Simplify right side
    4,751.98x = 17,232,560.56
  5. Step 5: Solve for x
    x = 17,232,560.56/4,751.98
  6. Step 6: Final answer
    x = 3,626.40

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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.