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Finding the Fourth Proportional to 3,271.45, 4,907.24 and 931.52

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Solution

The fourth proportional to 3,271.45, 4,907.24 and 931.52 is: 1,397.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.45 : 4,907.24 = 931.52 : x
  2. Step 2: Convert to fraction form
    3,271.45/4,907.24 = 931.52/x
  3. Step 3: Cross multiply
    3,271.45x = 4,907.24 × 931.52
  4. Step 4: Simplify right side
    3,271.45x = 4,571,163.01
  5. Step 5: Solve for x
    x = 4,571,163.01/3,271.45
  6. Step 6: Final answer
    x = 1,397.29

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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.