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Finding the Fourth Proportional to 5,714.40, 8,573.40 and 2,793

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Solution

The fourth proportional to 5,714.40, 8,573.40 and 2,793 is: 4,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.40 : 8,573.40 = 2,793 : x
  2. Step 2: Convert to fraction form
    5,714.40/8,573.40 = 2,793/x
  3. Step 3: Cross multiply
    5,714.40x = 8,573.40 × 2,793
  4. Step 4: Simplify right side
    5,714.40x = 23,945,506.20
  5. Step 5: Solve for x
    x = 23,945,506.20/5,714.40
  6. Step 6: Final answer
    x = 4,190.38

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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.