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Finding the Fourth Proportional to 5,907.60, 8,850.84 and 3,306

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Solution

The fourth proportional to 5,907.60, 8,850.84 and 3,306 is: 4,953.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,907.60 : 8,850.84 = 3,306 : x
  2. Step 2: Convert to fraction form
    5,907.60/8,850.84 = 3,306/x
  3. Step 3: Cross multiply
    5,907.60x = 8,850.84 × 3,306
  4. Step 4: Simplify right side
    5,907.60x = 29,260,877.04
  5. Step 5: Solve for x
    x = 29,260,877.04/5,907.60
  6. Step 6: Final answer
    x = 4,953.09

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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.