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Finding the Fourth Proportional to 3,897.01, 5,847.54 and 1,707.27

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Solution

The fourth proportional to 3,897.01, 5,847.54 and 1,707.27 is: 2,561.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.01 : 5,847.54 = 1,707.27 : x
  2. Step 2: Convert to fraction form
    3,897.01/5,847.54 = 1,707.27/x
  3. Step 3: Cross multiply
    3,897.01x = 5,847.54 × 1,707.27
  4. Step 4: Simplify right side
    3,897.01x = 9,983,329.62
  5. Step 5: Solve for x
    x = 9,983,329.62/3,897.01
  6. Step 6: Final answer
    x = 2,561.79

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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.