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Finding the Fourth Proportional to 5,143.25, 7,097.63 and 2,905.09

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Solution

The fourth proportional to 5,143.25, 7,097.63 and 2,905.09 is: 4,008.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.25 : 7,097.63 = 2,905.09 : x
  2. Step 2: Convert to fraction form
    5,143.25/7,097.63 = 2,905.09/x
  3. Step 3: Cross multiply
    5,143.25x = 7,097.63 × 2,905.09
  4. Step 4: Simplify right side
    5,143.25x = 20,619,218.45
  5. Step 5: Solve for x
    x = 20,619,218.45/5,143.25
  6. Step 6: Final answer
    x = 4,008.99

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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.