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Finding the Fourth Proportional to 5,970, 8,955.12 and 2,507.28

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Solution

The fourth proportional to 5,970, 8,955.12 and 2,507.28 is: 3,760.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970 : 8,955.12 = 2,507.28 : x
  2. Step 2: Convert to fraction form
    5,970/8,955.12 = 2,507.28/x
  3. Step 3: Cross multiply
    5,970x = 8,955.12 × 2,507.28
  4. Step 4: Simplify right side
    5,970x = 22,452,993.27
  5. Step 5: Solve for x
    x = 22,452,993.27/5,970
  6. Step 6: Final answer
    x = 3,760.97

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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.