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Finding the Fourth Proportional to 5,103.59, 7,654.37 and 1,404.86

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Solution

The fourth proportional to 5,103.59, 7,654.37 and 1,404.86 is: 2,107.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.59 : 7,654.37 = 1,404.86 : x
  2. Step 2: Convert to fraction form
    5,103.59/7,654.37 = 1,404.86/x
  3. Step 3: Cross multiply
    5,103.59x = 7,654.37 × 1,404.86
  4. Step 4: Simplify right side
    5,103.59x = 10,753,318.24
  5. Step 5: Solve for x
    x = 10,753,318.24/5,103.59
  6. Step 6: Final answer
    x = 2,107.01

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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.