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Finding the Fourth Proportional to 5,103.34, 7,654.12 and 1,404.68

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Solution

The fourth proportional to 5,103.34, 7,654.12 and 1,404.68 is: 2,106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.34 : 7,654.12 = 1,404.68 : x
  2. Step 2: Convert to fraction form
    5,103.34/7,654.12 = 1,404.68/x
  3. Step 3: Cross multiply
    5,103.34x = 7,654.12 × 1,404.68
  4. Step 4: Simplify right side
    5,103.34x = 10,751,589.28
  5. Step 5: Solve for x
    x = 10,751,589.28/5,103.34
  6. Step 6: Final answer
    x = 2,106.78

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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.