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Finding the Fourth Proportional to 4,296.54, 6,445.47 and 2,105.39

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Solution

The fourth proportional to 4,296.54, 6,445.47 and 2,105.39 is: 3,158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.54 : 6,445.47 = 2,105.39 : x
  2. Step 2: Convert to fraction form
    4,296.54/6,445.47 = 2,105.39/x
  3. Step 3: Cross multiply
    4,296.54x = 6,445.47 × 2,105.39
  4. Step 4: Simplify right side
    4,296.54x = 13,570,252.09
  5. Step 5: Solve for x
    x = 13,570,252.09/4,296.54
  6. Step 6: Final answer
    x = 3,158.41

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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.