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Finding the Fourth Proportional to 4,274.76, 5,894.43 and 2,780.31

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Solution

The fourth proportional to 4,274.76, 5,894.43 and 2,780.31 is: 3,833.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.76 : 5,894.43 = 2,780.31 : x
  2. Step 2: Convert to fraction form
    4,274.76/5,894.43 = 2,780.31/x
  3. Step 3: Cross multiply
    4,274.76x = 5,894.43 × 2,780.31
  4. Step 4: Simplify right side
    4,274.76x = 16,388,342.67
  5. Step 5: Solve for x
    x = 16,388,342.67/4,274.76
  6. Step 6: Final answer
    x = 3,833.75

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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.