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Finding the Fourth Proportional to 3,540.96, 5,306.84 and 1,458.60

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Solution

The fourth proportional to 3,540.96, 5,306.84 and 1,458.60 is: 2,186.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.96 : 5,306.84 = 1,458.60 : x
  2. Step 2: Convert to fraction form
    3,540.96/5,306.84 = 1,458.60/x
  3. Step 3: Cross multiply
    3,540.96x = 5,306.84 × 1,458.60
  4. Step 4: Simplify right side
    3,540.96x = 7,740,556.82
  5. Step 5: Solve for x
    x = 7,740,556.82/3,540.96
  6. Step 6: Final answer
    x = 2,186.01

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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.