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Finding the Fourth Proportional to 4,894.76, 6,754.31 and 2,770.49

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Solution

The fourth proportional to 4,894.76, 6,754.31 and 2,770.49 is: 3,823.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.76 : 6,754.31 = 2,770.49 : x
  2. Step 2: Convert to fraction form
    4,894.76/6,754.31 = 2,770.49/x
  3. Step 3: Cross multiply
    4,894.76x = 6,754.31 × 2,770.49
  4. Step 4: Simplify right side
    4,894.76x = 18,712,748.31
  5. Step 5: Solve for x
    x = 18,712,748.31/4,894.76
  6. Step 6: Final answer
    x = 3,823.02

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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.