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Finding the Fourth Proportional to 3,271.52, 4,900.52 and 2,176.40

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Solution

The fourth proportional to 3,271.52, 4,900.52 and 2,176.40 is: 3,260.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.52 : 4,900.52 = 2,176.40 : x
  2. Step 2: Convert to fraction form
    3,271.52/4,900.52 = 2,176.40/x
  3. Step 3: Cross multiply
    3,271.52x = 4,900.52 × 2,176.40
  4. Step 4: Simplify right side
    3,271.52x = 10,665,491.73
  5. Step 5: Solve for x
    x = 10,665,491.73/3,271.52
  6. Step 6: Final answer
    x = 3,260.10

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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.