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Finding the Fourth Proportional to 4,296.51, 6,446.96 and 2,047.58

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Solution

The fourth proportional to 4,296.51, 6,446.96 and 2,047.58 is: 3,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.51 : 6,446.96 = 2,047.58 : x
  2. Step 2: Convert to fraction form
    4,296.51/6,446.96 = 2,047.58/x
  3. Step 3: Cross multiply
    4,296.51x = 6,446.96 × 2,047.58
  4. Step 4: Simplify right side
    4,296.51x = 13,200,655.74
  5. Step 5: Solve for x
    x = 13,200,655.74/4,296.51
  6. Step 6: Final answer
    x = 3,072.41

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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.