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Finding the Fourth Proportional to 5,704.32, 7,871.72 and 3,580.96

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Solution

The fourth proportional to 5,704.32, 7,871.72 and 3,580.96 is: 4,941.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.32 : 7,871.72 = 3,580.96 : x
  2. Step 2: Convert to fraction form
    5,704.32/7,871.72 = 3,580.96/x
  3. Step 3: Cross multiply
    5,704.32x = 7,871.72 × 3,580.96
  4. Step 4: Simplify right side
    5,704.32x = 28,188,303.72
  5. Step 5: Solve for x
    x = 28,188,303.72/5,704.32
  6. Step 6: Final answer
    x = 4,941.57

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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.