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Finding the Fourth Proportional to 3,588.42, 4,952.00 and 2,016.52

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Solution

The fourth proportional to 3,588.42, 4,952.00 and 2,016.52 is: 2,782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.42 : 4,952.00 = 2,016.52 : x
  2. Step 2: Convert to fraction form
    3,588.42/4,952.00 = 2,016.52/x
  3. Step 3: Cross multiply
    3,588.42x = 4,952.00 × 2,016.52
  4. Step 4: Simplify right side
    3,588.42x = 9,985,799.70
  5. Step 5: Solve for x
    x = 9,985,799.70/3,588.42
  6. Step 6: Final answer
    x = 2,782.78

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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.