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Finding the Fourth Proportional to 4,733.78, 7,126.24 and 4,257.50

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Solution

The fourth proportional to 4,733.78, 7,126.24 and 4,257.50 is: 6,409.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.78 : 7,126.24 = 4,257.50 : x
  2. Step 2: Convert to fraction form
    4,733.78/7,126.24 = 4,257.50/x
  3. Step 3: Cross multiply
    4,733.78x = 7,126.24 × 4,257.50
  4. Step 4: Simplify right side
    4,733.78x = 30,339,945.51
  5. Step 5: Solve for x
    x = 30,339,945.51/4,733.78
  6. Step 6: Final answer
    x = 6,409.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.