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Finding the Fourth Proportional to 5,871.79, 8,106.57 and 3,884.05

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Solution

The fourth proportional to 5,871.79, 8,106.57 and 3,884.05 is: 5,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.79 : 8,106.57 = 3,884.05 : x
  2. Step 2: Convert to fraction form
    5,871.79/8,106.57 = 3,884.05/x
  3. Step 3: Cross multiply
    5,871.79x = 8,106.57 × 3,884.05
  4. Step 4: Simplify right side
    5,871.79x = 31,486,263.26
  5. Step 5: Solve for x
    x = 31,486,263.26/5,871.79
  6. Step 6: Final answer
    x = 5,362.30

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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.