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Finding the Fourth Proportional to 3,971.49, 5,953.83 and 2,507.40

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Solution

The fourth proportional to 3,971.49, 5,953.83 and 2,507.40 is: 3,758.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.49 : 5,953.83 = 2,507.40 : x
  2. Step 2: Convert to fraction form
    3,971.49/5,953.83 = 2,507.40/x
  3. Step 3: Cross multiply
    3,971.49x = 5,953.83 × 2,507.40
  4. Step 4: Simplify right side
    3,971.49x = 14,928,633.34
  5. Step 5: Solve for x
    x = 14,928,633.34/3,971.49
  6. Step 6: Final answer
    x = 3,758.95

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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.