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Finding the Fourth Proportional to 4,741.86, 6,546.78 and 3,064.08

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Solution

The fourth proportional to 4,741.86, 6,546.78 and 3,064.08 is: 4,230.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.86 : 6,546.78 = 3,064.08 : x
  2. Step 2: Convert to fraction form
    4,741.86/6,546.78 = 3,064.08/x
  3. Step 3: Cross multiply
    4,741.86x = 6,546.78 × 3,064.08
  4. Step 4: Simplify right side
    4,741.86x = 20,059,857.66
  5. Step 5: Solve for x
    x = 20,059,857.66/4,741.86
  6. Step 6: Final answer
    x = 4,230.38

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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.