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Finding the Fourth Proportional to 3,588.68, 4,952.82 and 2,016.75

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Solution

The fourth proportional to 3,588.68, 4,952.82 and 2,016.75 is: 2,783.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.68 : 4,952.82 = 2,016.75 : x
  2. Step 2: Convert to fraction form
    3,588.68/4,952.82 = 2,016.75/x
  3. Step 3: Cross multiply
    3,588.68x = 4,952.82 × 2,016.75
  4. Step 4: Simplify right side
    3,588.68x = 9,988,599.74
  5. Step 5: Solve for x
    x = 9,988,599.74/3,588.68
  6. Step 6: Final answer
    x = 2,783.37

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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.