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Finding the Fourth Proportional to 5,662.98, 8,495.69 and 1,714.57

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Solution

The fourth proportional to 5,662.98, 8,495.69 and 1,714.57 is: 2,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.98 : 8,495.69 = 1,714.57 : x
  2. Step 2: Convert to fraction form
    5,662.98/8,495.69 = 1,714.57/x
  3. Step 3: Cross multiply
    5,662.98x = 8,495.69 × 1,714.57
  4. Step 4: Simplify right side
    5,662.98x = 14,566,425.39
  5. Step 5: Solve for x
    x = 14,566,425.39/5,662.98
  6. Step 6: Final answer
    x = 2,572.22

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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.