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Finding the Fourth Proportional to 5,141.97, 7,714.58 and 2,220.30

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Solution

The fourth proportional to 5,141.97, 7,714.58 and 2,220.30 is: 3,331.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.97 : 7,714.58 = 2,220.30 : x
  2. Step 2: Convert to fraction form
    5,141.97/7,714.58 = 2,220.30/x
  3. Step 3: Cross multiply
    5,141.97x = 7,714.58 × 2,220.30
  4. Step 4: Simplify right side
    5,141.97x = 17,128,670.87
  5. Step 5: Solve for x
    x = 17,128,670.87/5,141.97
  6. Step 6: Final answer
    x = 3,331.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.