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Finding the Fourth Proportional to 5,897.96, 8,147.44 and 5,365.90

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Solution

The fourth proportional to 5,897.96, 8,147.44 and 5,365.90 is: 7,412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.96 : 8,147.44 = 5,365.90 : x
  2. Step 2: Convert to fraction form
    5,897.96/8,147.44 = 5,365.90/x
  3. Step 3: Cross multiply
    5,897.96x = 8,147.44 × 5,365.90
  4. Step 4: Simplify right side
    5,897.96x = 43,718,348.30
  5. Step 5: Solve for x
    x = 43,718,348.30/5,897.96
  6. Step 6: Final answer
    x = 7,412.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.