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Finding the Fourth Proportional to 3,687.98, 5,089.48 and 2,116.08

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Solution

The fourth proportional to 3,687.98, 5,089.48 and 2,116.08 is: 2,920.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.98 : 5,089.48 = 2,116.08 : x
  2. Step 2: Convert to fraction form
    3,687.98/5,089.48 = 2,116.08/x
  3. Step 3: Cross multiply
    3,687.98x = 5,089.48 × 2,116.08
  4. Step 4: Simplify right side
    3,687.98x = 10,769,746.84
  5. Step 5: Solve for x
    x = 10,769,746.84/3,687.98
  6. Step 6: Final answer
    x = 2,920.23

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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.