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Finding the Fourth Proportional to 3,447.99, 4,758.12 and 1,956.04

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Solution

The fourth proportional to 3,447.99, 4,758.12 and 1,956.04 is: 2,699.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.99 : 4,758.12 = 1,956.04 : x
  2. Step 2: Convert to fraction form
    3,447.99/4,758.12 = 1,956.04/x
  3. Step 3: Cross multiply
    3,447.99x = 4,758.12 × 1,956.04
  4. Step 4: Simplify right side
    3,447.99x = 9,307,073.04
  5. Step 5: Solve for x
    x = 9,307,073.04/3,447.99
  6. Step 6: Final answer
    x = 2,699.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.