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Finding the Fourth Proportional to 4,751.74, 6,557.38 and 2,627.38

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Solution

The fourth proportional to 4,751.74, 6,557.38 and 2,627.38 is: 3,625.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.74 : 6,557.38 = 2,627.38 : x
  2. Step 2: Convert to fraction form
    4,751.74/6,557.38 = 2,627.38/x
  3. Step 3: Cross multiply
    4,751.74x = 6,557.38 × 2,627.38
  4. Step 4: Simplify right side
    4,751.74x = 17,228,729.06
  5. Step 5: Solve for x
    x = 17,228,729.06/4,751.74
  6. Step 6: Final answer
    x = 3,625.77

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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.