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Finding the Fourth Proportional to 5,245.39, 7,866.37 and 1,734.58

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Solution

The fourth proportional to 5,245.39, 7,866.37 and 1,734.58 is: 2,601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.39 : 7,866.37 = 1,734.58 : x
  2. Step 2: Convert to fraction form
    5,245.39/7,866.37 = 1,734.58/x
  3. Step 3: Cross multiply
    5,245.39x = 7,866.37 × 1,734.58
  4. Step 4: Simplify right side
    5,245.39x = 13,644,848.07
  5. Step 5: Solve for x
    x = 13,644,848.07/5,245.39
  6. Step 6: Final answer
    x = 2,601.30

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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.