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Finding the Fourth Proportional to 4,770.92, 7,156.10 and 1,996.13

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Solution

The fourth proportional to 4,770.92, 7,156.10 and 1,996.13 is: 2,994.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.92 : 7,156.10 = 1,996.13 : x
  2. Step 2: Convert to fraction form
    4,770.92/7,156.10 = 1,996.13/x
  3. Step 3: Cross multiply
    4,770.92x = 7,156.10 × 1,996.13
  4. Step 4: Simplify right side
    4,770.92x = 14,284,460.13
  5. Step 5: Solve for x
    x = 14,284,460.13/4,770.92
  6. Step 6: Final answer
    x = 2,994.07

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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.