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Finding the Fourth Proportional to 5,877.93, 8,109.90 and 3,783.27

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Solution

The fourth proportional to 5,877.93, 8,109.90 and 3,783.27 is: 5,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.93 : 8,109.90 = 3,783.27 : x
  2. Step 2: Convert to fraction form
    5,877.93/8,109.90 = 3,783.27/x
  3. Step 3: Cross multiply
    5,877.93x = 8,109.90 × 3,783.27
  4. Step 4: Simplify right side
    5,877.93x = 30,681,941.37
  5. Step 5: Solve for x
    x = 30,681,941.37/5,877.93
  6. Step 6: Final answer
    x = 5,219.85

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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.