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Finding the Fourth Proportional to 4,296.78, 6,447.56 and 2,322.36

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Solution

The fourth proportional to 4,296.78, 6,447.56 and 2,322.36 is: 3,484.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.78 : 6,447.56 = 2,322.36 : x
  2. Step 2: Convert to fraction form
    4,296.78/6,447.56 = 2,322.36/x
  3. Step 3: Cross multiply
    4,296.78x = 6,447.56 × 2,322.36
  4. Step 4: Simplify right side
    4,296.78x = 14,973,543.83
  5. Step 5: Solve for x
    x = 14,973,543.83/4,296.78
  6. Step 6: Final answer
    x = 3,484.83

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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.