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Finding the Fourth Proportional to 3,679.80, 5,077.54 and 2,187.16

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Solution

The fourth proportional to 3,679.80, 5,077.54 and 2,187.16 is: 3,017.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.80 : 5,077.54 = 2,187.16 : x
  2. Step 2: Convert to fraction form
    3,679.80/5,077.54 = 2,187.16/x
  3. Step 3: Cross multiply
    3,679.80x = 5,077.54 × 2,187.16
  4. Step 4: Simplify right side
    3,679.80x = 11,105,392.39
  5. Step 5: Solve for x
    x = 11,105,392.39/3,679.80
  6. Step 6: Final answer
    x = 3,017.93

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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.