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Finding the Fourth Proportional to 5,147.51, 7,722.17 and 1,637.47

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Solution

The fourth proportional to 5,147.51, 7,722.17 and 1,637.47 is: 2,456.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.51 : 7,722.17 = 1,637.47 : x
  2. Step 2: Convert to fraction form
    5,147.51/7,722.17 = 1,637.47/x
  3. Step 3: Cross multiply
    5,147.51x = 7,722.17 × 1,637.47
  4. Step 4: Simplify right side
    5,147.51x = 12,644,774.91
  5. Step 5: Solve for x
    x = 12,644,774.91/5,147.51
  6. Step 6: Final answer
    x = 2,456.48

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