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Finding the Fourth Proportional to 5,714.51, 8,571.76 and 2,014.70

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Solution

The fourth proportional to 5,714.51, 8,571.76 and 2,014.70 is: 3,022.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.51 : 8,571.76 = 2,014.70 : x
  2. Step 2: Convert to fraction form
    5,714.51/8,571.76 = 2,014.70/x
  3. Step 3: Cross multiply
    5,714.51x = 8,571.76 × 2,014.70
  4. Step 4: Simplify right side
    5,714.51x = 17,269,476.98
  5. Step 5: Solve for x
    x = 17,269,476.98/5,714.51
  6. Step 6: Final answer
    x = 3,022.04

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Similar ratio
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1.5x scale

Why These Related Problems?

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