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Finding the Fourth Proportional to 5,994.56, 8,276.16 and 3,871.16

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Solution

The fourth proportional to 5,994.56, 8,276.16 and 3,871.16 is: 5,344.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,994.56 : 8,276.16 = 3,871.16 : x
  2. Step 2: Convert to fraction form
    5,994.56/8,276.16 = 3,871.16/x
  3. Step 3: Cross multiply
    5,994.56x = 8,276.16 × 3,871.16
  4. Step 4: Simplify right side
    5,994.56x = 32,038,339.55
  5. Step 5: Solve for x
    x = 32,038,339.55/5,994.56
  6. Step 6: Final answer
    x = 5,344.57

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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.