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Finding the Fourth Proportional to 5,760.36, 7,946.46 and 3,638.52

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Solution

The fourth proportional to 5,760.36, 7,946.46 and 3,638.52 is: 5,019.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.36 : 7,946.46 = 3,638.52 : x
  2. Step 2: Convert to fraction form
    5,760.36/7,946.46 = 3,638.52/x
  3. Step 3: Cross multiply
    5,760.36x = 7,946.46 × 3,638.52
  4. Step 4: Simplify right side
    5,760.36x = 28,913,353.64
  5. Step 5: Solve for x
    x = 28,913,353.64/5,760.36
  6. Step 6: Final answer
    x = 5,019.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.