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Finding the Fourth Proportional to 3,447.90, 4,758.24 and 1,956

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Solution

The fourth proportional to 3,447.90, 4,758.24 and 1,956 is: 2,699.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.90 : 4,758.24 = 1,956 : x
  2. Step 2: Convert to fraction form
    3,447.90/4,758.24 = 1,956/x
  3. Step 3: Cross multiply
    3,447.90x = 4,758.24 × 1,956
  4. Step 4: Simplify right side
    3,447.90x = 9,307,117.44
  5. Step 5: Solve for x
    x = 9,307,117.44/3,447.90
  6. Step 6: Final answer
    x = 2,699.36

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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.