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Finding the Fourth Proportional to 5,141.88, 7,709.62 and 2,365

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Solution

The fourth proportional to 5,141.88, 7,709.62 and 2,365 is: 3,546.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.88 : 7,709.62 = 2,365 : x
  2. Step 2: Convert to fraction form
    5,141.88/7,709.62 = 2,365/x
  3. Step 3: Cross multiply
    5,141.88x = 7,709.62 × 2,365
  4. Step 4: Simplify right side
    5,141.88x = 18,233,251.30
  5. Step 5: Solve for x
    x = 18,233,251.30/5,141.88
  6. Step 6: Final answer
    x = 3,546.03

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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.