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Finding the Fourth Proportional to 5,828.84, 8,042.02 and 3,310.76

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Solution

The fourth proportional to 5,828.84, 8,042.02 and 3,310.76 is: 4,567.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.84 : 8,042.02 = 3,310.76 : x
  2. Step 2: Convert to fraction form
    5,828.84/8,042.02 = 3,310.76/x
  3. Step 3: Cross multiply
    5,828.84x = 8,042.02 × 3,310.76
  4. Step 4: Simplify right side
    5,828.84x = 26,625,198.14
  5. Step 5: Solve for x
    x = 26,625,198.14/5,828.84
  6. Step 6: Final answer
    x = 4,567.84

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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.