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Finding the Fourth Proportional to 3,514.96, 5,272.75 and 917.92

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Solution

The fourth proportional to 3,514.96, 5,272.75 and 917.92 is: 1,376.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.96 : 5,272.75 = 917.92 : x
  2. Step 2: Convert to fraction form
    3,514.96/5,272.75 = 917.92/x
  3. Step 3: Cross multiply
    3,514.96x = 5,272.75 × 917.92
  4. Step 4: Simplify right side
    3,514.96x = 4,839,962.68
  5. Step 5: Solve for x
    x = 4,839,962.68/3,514.96
  6. Step 6: Final answer
    x = 1,376.96

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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.