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Finding the Fourth Proportional to 4,760.93, 6,582.62 and 4,169.77

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Solution

The fourth proportional to 4,760.93, 6,582.62 and 4,169.77 is: 5,765.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.93 : 6,582.62 = 4,169.77 : x
  2. Step 2: Convert to fraction form
    4,760.93/6,582.62 = 4,169.77/x
  3. Step 3: Cross multiply
    4,760.93x = 6,582.62 × 4,169.77
  4. Step 4: Simplify right side
    4,760.93x = 27,448,021.82
  5. Step 5: Solve for x
    x = 27,448,021.82/4,760.93
  6. Step 6: Final answer
    x = 5,765.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.