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Finding the Fourth Proportional to 4,601.81, 6,936.38 and 4,207.39

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Solution

The fourth proportional to 4,601.81, 6,936.38 and 4,207.39 is: 6,341.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.81 : 6,936.38 = 4,207.39 : x
  2. Step 2: Convert to fraction form
    4,601.81/6,936.38 = 4,207.39/x
  3. Step 3: Cross multiply
    4,601.81x = 6,936.38 × 4,207.39
  4. Step 4: Simplify right side
    4,601.81x = 29,184,055.85
  5. Step 5: Solve for x
    x = 29,184,055.85/4,601.81
  6. Step 6: Final answer
    x = 6,341.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.