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Finding the Fourth Proportional to 3,965.88, 5,475.06 and 2,970.78

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Solution

The fourth proportional to 3,965.88, 5,475.06 and 2,970.78 is: 4,101.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.88 : 5,475.06 = 2,970.78 : x
  2. Step 2: Convert to fraction form
    3,965.88/5,475.06 = 2,970.78/x
  3. Step 3: Cross multiply
    3,965.88x = 5,475.06 × 2,970.78
  4. Step 4: Simplify right side
    3,965.88x = 16,265,198.75
  5. Step 5: Solve for x
    x = 16,265,198.75/3,965.88
  6. Step 6: Final answer
    x = 4,101.28

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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.