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Finding the Fourth Proportional to 5,821.44, 8,689.89 and 5,387.77

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Solution

The fourth proportional to 5,821.44, 8,689.89 and 5,387.77 is: 8,042.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.44 : 8,689.89 = 5,387.77 : x
  2. Step 2: Convert to fraction form
    5,821.44/8,689.89 = 5,387.77/x
  3. Step 3: Cross multiply
    5,821.44x = 8,689.89 × 5,387.77
  4. Step 4: Simplify right side
    5,821.44x = 46,819,128.65
  5. Step 5: Solve for x
    x = 46,819,128.65/5,821.44
  6. Step 6: Final answer
    x = 8,042.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.