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Finding the Fourth Proportional to 5,881.33, 8,134.26 and 5,782.92

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Solution

The fourth proportional to 5,881.33, 8,134.26 and 5,782.92 is: 7,998.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.33 : 8,134.26 = 5,782.92 : x
  2. Step 2: Convert to fraction form
    5,881.33/8,134.26 = 5,782.92/x
  3. Step 3: Cross multiply
    5,881.33x = 8,134.26 × 5,782.92
  4. Step 4: Simplify right side
    5,881.33x = 47,039,774.84
  5. Step 5: Solve for x
    x = 47,039,774.84/5,881.33
  6. Step 6: Final answer
    x = 7,998.15

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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.