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Finding the Fourth Proportional to 3,780.70, 5,218.72 and 2,188.06

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Solution

The fourth proportional to 3,780.70, 5,218.72 and 2,188.06 is: 3,020.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.70 : 5,218.72 = 2,188.06 : x
  2. Step 2: Convert to fraction form
    3,780.70/5,218.72 = 2,188.06/x
  3. Step 3: Cross multiply
    3,780.70x = 5,218.72 × 2,188.06
  4. Step 4: Simplify right side
    3,780.70x = 11,418,897.20
  5. Step 5: Solve for x
    x = 11,418,897.20/3,780.70
  6. Step 6: Final answer
    x = 3,020.31

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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.