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Finding the Fourth Proportional to 5,897.89, 8,086.34 and 5,792.59

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Solution

The fourth proportional to 5,897.89, 8,086.34 and 5,792.59 is: 7,941.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.89 : 8,086.34 = 5,792.59 : x
  2. Step 2: Convert to fraction form
    5,897.89/8,086.34 = 5,792.59/x
  3. Step 3: Cross multiply
    5,897.89x = 8,086.34 × 5,792.59
  4. Step 4: Simplify right side
    5,897.89x = 46,840,852.22
  5. Step 5: Solve for x
    x = 46,840,852.22/5,897.89
  6. Step 6: Final answer
    x = 7,941.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.