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Finding the Fourth Proportional to 5,841.97, 8,721.34 and 5,636.93

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Solution

The fourth proportional to 5,841.97, 8,721.34 and 5,636.93 is: 8,415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.97 : 8,721.34 = 5,636.93 : x
  2. Step 2: Convert to fraction form
    5,841.97/8,721.34 = 5,636.93/x
  3. Step 3: Cross multiply
    5,841.97x = 8,721.34 × 5,636.93
  4. Step 4: Simplify right side
    5,841.97x = 49,161,583.09
  5. Step 5: Solve for x
    x = 49,161,583.09/5,841.97
  6. Step 6: Final answer
    x = 8,415.24

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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.