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Finding the Fourth Proportional to 4,903.18, 6,768.57 and 2,914.38

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Solution

The fourth proportional to 4,903.18, 6,768.57 and 2,914.38 is: 4,023.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.18 : 6,768.57 = 2,914.38 : x
  2. Step 2: Convert to fraction form
    4,903.18/6,768.57 = 2,914.38/x
  3. Step 3: Cross multiply
    4,903.18x = 6,768.57 × 2,914.38
  4. Step 4: Simplify right side
    4,903.18x = 19,726,185.04
  5. Step 5: Solve for x
    x = 19,726,185.04/4,903.18
  6. Step 6: Final answer
    x = 4,023.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.