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Finding the Fourth Proportional to 4,857.04, 7,286.64 and 2,777.92

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Solution

The fourth proportional to 4,857.04, 7,286.64 and 2,777.92 is: 4,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.04 : 7,286.64 = 2,777.92 : x
  2. Step 2: Convert to fraction form
    4,857.04/7,286.64 = 2,777.92/x
  3. Step 3: Cross multiply
    4,857.04x = 7,286.64 × 2,777.92
  4. Step 4: Simplify right side
    4,857.04x = 20,241,702.99
  5. Step 5: Solve for x
    x = 20,241,702.99/4,857.04
  6. Step 6: Final answer
    x = 4,167.50

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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.