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Finding the Fourth Proportional to 4,762.24, 7,130.94 and 3,832.72

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Solution

The fourth proportional to 4,762.24, 7,130.94 and 3,832.72 is: 5,739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.24 : 7,130.94 = 3,832.72 : x
  2. Step 2: Convert to fraction form
    4,762.24/7,130.94 = 3,832.72/x
  3. Step 3: Cross multiply
    4,762.24x = 7,130.94 × 3,832.72
  4. Step 4: Simplify right side
    4,762.24x = 27,330,896.36
  5. Step 5: Solve for x
    x = 27,330,896.36/4,762.24
  6. Step 6: Final answer
    x = 5,739.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.