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Finding the Fourth Proportional to 3,588.86, 4,952.09 and 2,016.65

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Solution

The fourth proportional to 3,588.86, 4,952.09 and 2,016.65 is: 2,782.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.86 : 4,952.09 = 2,016.65 : x
  2. Step 2: Convert to fraction form
    3,588.86/4,952.09 = 2,016.65/x
  3. Step 3: Cross multiply
    3,588.86x = 4,952.09 × 2,016.65
  4. Step 4: Simplify right side
    3,588.86x = 9,986,632.30
  5. Step 5: Solve for x
    x = 9,986,632.30/3,588.86
  6. Step 6: Final answer
    x = 2,782.68

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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.