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Finding the Fourth Proportional to 4,864.64, 6,713.79 and 3,186.47

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Solution

The fourth proportional to 4,864.64, 6,713.79 and 3,186.47 is: 4,397.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.64 : 6,713.79 = 3,186.47 : x
  2. Step 2: Convert to fraction form
    4,864.64/6,713.79 = 3,186.47/x
  3. Step 3: Cross multiply
    4,864.64x = 6,713.79 × 3,186.47
  4. Step 4: Simplify right side
    4,864.64x = 21,393,256.85
  5. Step 5: Solve for x
    x = 21,393,256.85/4,864.64
  6. Step 6: Final answer
    x = 4,397.71

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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.