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Finding the Fourth Proportional to 5,102.94, 7,654.67 and 1,405.09

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Solution

The fourth proportional to 5,102.94, 7,654.67 and 1,405.09 is: 2,107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.94 : 7,654.67 = 1,405.09 : x
  2. Step 2: Convert to fraction form
    5,102.94/7,654.67 = 1,405.09/x
  3. Step 3: Cross multiply
    5,102.94x = 7,654.67 × 1,405.09
  4. Step 4: Simplify right side
    5,102.94x = 10,755,462.00
  5. Step 5: Solve for x
    x = 10,755,462.00/5,102.94
  6. Step 6: Final answer
    x = 2,107.70

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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.