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Finding the Fourth Proportional to 3,462.53, 5,196.07 and 1,271.28

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Solution

The fourth proportional to 3,462.53, 5,196.07 and 1,271.28 is: 1,907.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.53 : 5,196.07 = 1,271.28 : x
  2. Step 2: Convert to fraction form
    3,462.53/5,196.07 = 1,271.28/x
  3. Step 3: Cross multiply
    3,462.53x = 5,196.07 × 1,271.28
  4. Step 4: Simplify right side
    3,462.53x = 6,605,659.87
  5. Step 5: Solve for x
    x = 6,605,659.87/3,462.53
  6. Step 6: Final answer
    x = 1,907.76

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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.