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Finding the Fourth Proportional to 3,805.89, 5,715.18 and 2,354.28

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Solution

The fourth proportional to 3,805.89, 5,715.18 and 2,354.28 is: 3,535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.89 : 5,715.18 = 2,354.28 : x
  2. Step 2: Convert to fraction form
    3,805.89/5,715.18 = 2,354.28/x
  3. Step 3: Cross multiply
    3,805.89x = 5,715.18 × 2,354.28
  4. Step 4: Simplify right side
    3,805.89x = 13,455,133.97
  5. Step 5: Solve for x
    x = 13,455,133.97/3,805.89
  6. Step 6: Final answer
    x = 3,535.34

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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.