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Finding the Fourth Proportional to 3,973.95, 5,965.07 and 2,935.13

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Solution

The fourth proportional to 3,973.95, 5,965.07 and 2,935.13 is: 4,405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.95 : 5,965.07 = 2,935.13 : x
  2. Step 2: Convert to fraction form
    3,973.95/5,965.07 = 2,935.13/x
  3. Step 3: Cross multiply
    3,973.95x = 5,965.07 × 2,935.13
  4. Step 4: Simplify right side
    3,973.95x = 17,508,211.41
  5. Step 5: Solve for x
    x = 17,508,211.41/3,973.95
  6. Step 6: Final answer
    x = 4,405.75

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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.