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Finding the Fourth Proportional to 3,217.53, 4,829.03 and 1,271.10

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Solution

The fourth proportional to 3,217.53, 4,829.03 and 1,271.10 is: 1,907.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.53 : 4,829.03 = 1,271.10 : x
  2. Step 2: Convert to fraction form
    3,217.53/4,829.03 = 1,271.10/x
  3. Step 3: Cross multiply
    3,217.53x = 4,829.03 × 1,271.10
  4. Step 4: Simplify right side
    3,217.53x = 6,138,180.03
  5. Step 5: Solve for x
    x = 6,138,180.03/3,217.53
  6. Step 6: Final answer
    x = 1,907.73

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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.