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Finding the Fourth Proportional to 5,897.96, 8,134.64 and 3,661.16

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Solution

The fourth proportional to 5,897.96, 8,134.64 and 3,661.16 is: 5,049.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.96 : 8,134.64 = 3,661.16 : x
  2. Step 2: Convert to fraction form
    5,897.96/8,134.64 = 3,661.16/x
  3. Step 3: Cross multiply
    5,897.96x = 8,134.64 × 3,661.16
  4. Step 4: Simplify right side
    5,897.96x = 29,782,218.58
  5. Step 5: Solve for x
    x = 29,782,218.58/5,897.96
  6. Step 6: Final answer
    x = 5,049.58

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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.