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Finding the Fourth Proportional to 5,891.84, 8,130.80 and 3,239.30

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Solution

The fourth proportional to 5,891.84, 8,130.80 and 3,239.30 is: 4,470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.84 : 8,130.80 = 3,239.30 : x
  2. Step 2: Convert to fraction form
    5,891.84/8,130.80 = 3,239.30/x
  3. Step 3: Cross multiply
    5,891.84x = 8,130.80 × 3,239.30
  4. Step 4: Simplify right side
    5,891.84x = 26,338,100.44
  5. Step 5: Solve for x
    x = 26,338,100.44/5,891.84
  6. Step 6: Final answer
    x = 4,470.27

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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.