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Finding the Fourth Proportional to 5,661.84, 7,810.96 and 4,086.48

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Solution

The fourth proportional to 5,661.84, 7,810.96 and 4,086.48 is: 5,637.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.84 : 7,810.96 = 4,086.48 : x
  2. Step 2: Convert to fraction form
    5,661.84/7,810.96 = 4,086.48/x
  3. Step 3: Cross multiply
    5,661.84x = 7,810.96 × 4,086.48
  4. Step 4: Simplify right side
    5,661.84x = 31,919,331.82
  5. Step 5: Solve for x
    x = 31,919,331.82/5,661.84
  6. Step 6: Final answer
    x = 5,637.63

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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.