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Finding the Fourth Proportional to 5,237.62, 7,850.90 and 1,726.72

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Solution

The fourth proportional to 5,237.62, 7,850.90 and 1,726.72 is: 2,588.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.62 : 7,850.90 = 1,726.72 : x
  2. Step 2: Convert to fraction form
    5,237.62/7,850.90 = 1,726.72/x
  3. Step 3: Cross multiply
    5,237.62x = 7,850.90 × 1,726.72
  4. Step 4: Simplify right side
    5,237.62x = 13,556,306.05
  5. Step 5: Solve for x
    x = 13,556,306.05/5,237.62
  6. Step 6: Final answer
    x = 2,588.26

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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.