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Finding the Fourth Proportional to 4,733.73, 6,485.24 and 4,556.37

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Solution

The fourth proportional to 4,733.73, 6,485.24 and 4,556.37 is: 6,242.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.73 : 6,485.24 = 4,556.37 : x
  2. Step 2: Convert to fraction form
    4,733.73/6,485.24 = 4,556.37/x
  3. Step 3: Cross multiply
    4,733.73x = 6,485.24 × 4,556.37
  4. Step 4: Simplify right side
    4,733.73x = 29,549,130.20
  5. Step 5: Solve for x
    x = 29,549,130.20/4,733.73
  6. Step 6: Final answer
    x = 6,242.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.