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Finding the Fourth Proportional to 3,588.48, 4,952.18 and 2,016.56

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Solution

The fourth proportional to 3,588.48, 4,952.18 and 2,016.56 is: 2,782.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.48 : 4,952.18 = 2,016.56 : x
  2. Step 2: Convert to fraction form
    3,588.48/4,952.18 = 2,016.56/x
  3. Step 3: Cross multiply
    3,588.48x = 4,952.18 × 2,016.56
  4. Step 4: Simplify right side
    3,588.48x = 9,986,368.10
  5. Step 5: Solve for x
    x = 9,986,368.10/3,588.48
  6. Step 6: Final answer
    x = 2,782.90

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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.