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Finding the Fourth Proportional to 5,044.30, 7,564.65 and 1,923.48

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Solution

The fourth proportional to 5,044.30, 7,564.65 and 1,923.48 is: 2,884.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.30 : 7,564.65 = 1,923.48 : x
  2. Step 2: Convert to fraction form
    5,044.30/7,564.65 = 1,923.48/x
  3. Step 3: Cross multiply
    5,044.30x = 7,564.65 × 1,923.48
  4. Step 4: Simplify right side
    5,044.30x = 14,550,452.98
  5. Step 5: Solve for x
    x = 14,550,452.98/5,044.30
  6. Step 6: Final answer
    x = 2,884.53

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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.