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Finding the Fourth Proportional to 4,814.63, 6,640.54 and 4,143.56

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Solution

The fourth proportional to 4,814.63, 6,640.54 and 4,143.56 is: 5,714.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.63 : 6,640.54 = 4,143.56 : x
  2. Step 2: Convert to fraction form
    4,814.63/6,640.54 = 4,143.56/x
  3. Step 3: Cross multiply
    4,814.63x = 6,640.54 × 4,143.56
  4. Step 4: Simplify right side
    4,814.63x = 27,515,432.36
  5. Step 5: Solve for x
    x = 27,515,432.36/4,814.63
  6. Step 6: Final answer
    x = 5,714.96

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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.