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Finding the Fourth Proportional to 5,748.62, 8,627.21 and 4,271.23

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Solution

The fourth proportional to 5,748.62, 8,627.21 and 4,271.23 is: 6,410.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.62 : 8,627.21 = 4,271.23 : x
  2. Step 2: Convert to fraction form
    5,748.62/8,627.21 = 4,271.23/x
  3. Step 3: Cross multiply
    5,748.62x = 8,627.21 × 4,271.23
  4. Step 4: Simplify right side
    5,748.62x = 36,848,803.61
  5. Step 5: Solve for x
    x = 36,848,803.61/5,748.62
  6. Step 6: Final answer
    x = 6,410.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.