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Finding the Fourth Proportional to 5,001.69, 7,500.78 and 1,714.02

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Solution

The fourth proportional to 5,001.69, 7,500.78 and 1,714.02 is: 2,570.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,001.69 : 7,500.78 = 1,714.02 : x
  2. Step 2: Convert to fraction form
    5,001.69/7,500.78 = 1,714.02/x
  3. Step 3: Cross multiply
    5,001.69x = 7,500.78 × 1,714.02
  4. Step 4: Simplify right side
    5,001.69x = 12,856,486.94
  5. Step 5: Solve for x
    x = 12,856,486.94/5,001.69
  6. Step 6: Final answer
    x = 2,570.43

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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.