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Finding the Fourth Proportional to 3,588.63, 4,952.12 and 2,016.63

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Solution

The fourth proportional to 3,588.63, 4,952.12 and 2,016.63 is: 2,782.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.63 : 4,952.12 = 2,016.63 : x
  2. Step 2: Convert to fraction form
    3,588.63/4,952.12 = 2,016.63/x
  3. Step 3: Cross multiply
    3,588.63x = 4,952.12 × 2,016.63
  4. Step 4: Simplify right side
    3,588.63x = 9,986,593.76
  5. Step 5: Solve for x
    x = 9,986,593.76/3,588.63
  6. Step 6: Final answer
    x = 2,782.84

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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.