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Finding the Fourth Proportional to 4,709.49, 6,499.14 and 2,942.12

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Solution

The fourth proportional to 4,709.49, 6,499.14 and 2,942.12 is: 4,060.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.49 : 6,499.14 = 2,942.12 : x
  2. Step 2: Convert to fraction form
    4,709.49/6,499.14 = 2,942.12/x
  3. Step 3: Cross multiply
    4,709.49x = 6,499.14 × 2,942.12
  4. Step 4: Simplify right side
    4,709.49x = 19,121,217.28
  5. Step 5: Solve for x
    x = 19,121,217.28/4,709.49
  6. Step 6: Final answer
    x = 4,060.15

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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.