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Finding the Fourth Proportional to 4,714.32, 7,071.48 and 1,791.94

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Solution

The fourth proportional to 4,714.32, 7,071.48 and 1,791.94 is: 2,687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.32 : 7,071.48 = 1,791.94 : x
  2. Step 2: Convert to fraction form
    4,714.32/7,071.48 = 1,791.94/x
  3. Step 3: Cross multiply
    4,714.32x = 7,071.48 × 1,791.94
  4. Step 4: Simplify right side
    4,714.32x = 12,671,667.87
  5. Step 5: Solve for x
    x = 12,671,667.87/4,714.32
  6. Step 6: Final answer
    x = 2,687.91

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