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Finding the Fourth Proportional to 3,588.57, 4,952.14 and 2,016.77

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Solution

The fourth proportional to 3,588.57, 4,952.14 and 2,016.77 is: 2,783.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.57 : 4,952.14 = 2,016.77 : x
  2. Step 2: Convert to fraction form
    3,588.57/4,952.14 = 2,016.77/x
  3. Step 3: Cross multiply
    3,588.57x = 4,952.14 × 2,016.77
  4. Step 4: Simplify right side
    3,588.57x = 9,987,297.59
  5. Step 5: Solve for x
    x = 9,987,297.59/3,588.57
  6. Step 6: Final answer
    x = 2,783.09

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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.