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Finding the Fourth Proportional to 3,970.68, 5,955.42 and 2,505.36

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Solution

The fourth proportional to 3,970.68, 5,955.42 and 2,505.36 is: 3,757.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.68 : 5,955.42 = 2,505.36 : x
  2. Step 2: Convert to fraction form
    3,970.68/5,955.42 = 2,505.36/x
  3. Step 3: Cross multiply
    3,970.68x = 5,955.42 × 2,505.36
  4. Step 4: Simplify right side
    3,970.68x = 14,920,471.05
  5. Step 5: Solve for x
    x = 14,920,471.05/3,970.68
  6. Step 6: Final answer
    x = 3,757.66

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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.