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Finding the Fourth Proportional to 4,741.86, 7,115.28 and 3,364.08

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Solution

The fourth proportional to 4,741.86, 7,115.28 and 3,364.08 is: 5,047.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.86 : 7,115.28 = 3,364.08 : x
  2. Step 2: Convert to fraction form
    4,741.86/7,115.28 = 3,364.08/x
  3. Step 3: Cross multiply
    4,741.86x = 7,115.28 × 3,364.08
  4. Step 4: Simplify right side
    4,741.86x = 23,936,371.14
  5. Step 5: Solve for x
    x = 23,936,371.14/4,741.86
  6. Step 6: Final answer
    x = 5,047.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.