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Finding the Fourth Proportional to 5,714.98, 8,566.63 and 3,244.59

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Solution

The fourth proportional to 5,714.98, 8,566.63 and 3,244.59 is: 4,863.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.98 : 8,566.63 = 3,244.59 : x
  2. Step 2: Convert to fraction form
    5,714.98/8,566.63 = 3,244.59/x
  3. Step 3: Cross multiply
    5,714.98x = 8,566.63 × 3,244.59
  4. Step 4: Simplify right side
    5,714.98x = 27,795,193.92
  5. Step 5: Solve for x
    x = 27,795,193.92/5,714.98
  6. Step 6: Final answer
    x = 4,863.57

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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.