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Finding the Fourth Proportional to 5,897.89, 8,139.25 and 3,245.47

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Solution

The fourth proportional to 5,897.89, 8,139.25 and 3,245.47 is: 4,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.89 : 8,139.25 = 3,245.47 : x
  2. Step 2: Convert to fraction form
    5,897.89/8,139.25 = 3,245.47/x
  3. Step 3: Cross multiply
    5,897.89x = 8,139.25 × 3,245.47
  4. Step 4: Simplify right side
    5,897.89x = 26,415,675.41
  5. Step 5: Solve for x
    x = 26,415,675.41/5,897.89
  6. Step 6: Final answer
    x = 4,478.83

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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.