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Finding the Fourth Proportional to 4,760.88, 6,572.64 and 3,197.28

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Solution

The fourth proportional to 4,760.88, 6,572.64 and 3,197.28 is: 4,414.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.88 : 6,572.64 = 3,197.28 : x
  2. Step 2: Convert to fraction form
    4,760.88/6,572.64 = 3,197.28/x
  3. Step 3: Cross multiply
    4,760.88x = 6,572.64 × 3,197.28
  4. Step 4: Simplify right side
    4,760.88x = 21,014,570.42
  5. Step 5: Solve for x
    x = 21,014,570.42/4,760.88
  6. Step 6: Final answer
    x = 4,414.01

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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.