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Finding the Fourth Proportional to 3,274.32, 4,911.49 and 1,714.78

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Solution

The fourth proportional to 3,274.32, 4,911.49 and 1,714.78 is: 2,572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.32 : 4,911.49 = 1,714.78 : x
  2. Step 2: Convert to fraction form
    3,274.32/4,911.49 = 1,714.78/x
  3. Step 3: Cross multiply
    3,274.32x = 4,911.49 × 1,714.78
  4. Step 4: Simplify right side
    3,274.32x = 8,422,109.65
  5. Step 5: Solve for x
    x = 8,422,109.65/3,274.32
  6. Step 6: Final answer
    x = 2,572.17

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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.