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Finding the Fourth Proportional to 4,855.32, 7,280.82 and 2,259

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Solution

The fourth proportional to 4,855.32, 7,280.82 and 2,259 is: 3,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,855.32 : 7,280.82 = 2,259 : x
  2. Step 2: Convert to fraction form
    4,855.32/7,280.82 = 2,259/x
  3. Step 3: Cross multiply
    4,855.32x = 7,280.82 × 2,259
  4. Step 4: Simplify right side
    4,855.32x = 16,447,372.38
  5. Step 5: Solve for x
    x = 16,447,372.38/4,855.32
  6. Step 6: Final answer
    x = 3,387.50

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Why These Related Problems?

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