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Finding the Fourth Proportional to 3,588.66, 4,952.82 and 2,016.78

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Solution

The fourth proportional to 3,588.66, 4,952.82 and 2,016.78 is: 2,783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.66 : 4,952.82 = 2,016.78 : x
  2. Step 2: Convert to fraction form
    3,588.66/4,952.82 = 2,016.78/x
  3. Step 3: Cross multiply
    3,588.66x = 4,952.82 × 2,016.78
  4. Step 4: Simplify right side
    3,588.66x = 9,988,748.32
  5. Step 5: Solve for x
    x = 9,988,748.32/3,588.66
  6. Step 6: Final answer
    x = 2,783.42

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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.