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Finding the Fourth Proportional to 5,103.76, 7,654.36 and 3,266.32

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Solution

The fourth proportional to 5,103.76, 7,654.36 and 3,266.32 is: 4,898.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.76 : 7,654.36 = 3,266.32 : x
  2. Step 2: Convert to fraction form
    5,103.76/7,654.36 = 3,266.32/x
  3. Step 3: Cross multiply
    5,103.76x = 7,654.36 × 3,266.32
  4. Step 4: Simplify right side
    5,103.76x = 25,001,589.16
  5. Step 5: Solve for x
    x = 25,001,589.16/5,103.76
  6. Step 6: Final answer
    x = 4,898.66

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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.