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Finding the Fourth Proportional to 3,527.93, 5,291.90 and 1,447.55

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Solution

The fourth proportional to 3,527.93, 5,291.90 and 1,447.55 is: 2,171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.93 : 5,291.90 = 1,447.55 : x
  2. Step 2: Convert to fraction form
    3,527.93/5,291.90 = 1,447.55/x
  3. Step 3: Cross multiply
    3,527.93x = 5,291.90 × 1,447.55
  4. Step 4: Simplify right side
    3,527.93x = 7,660,289.85
  5. Step 5: Solve for x
    x = 7,660,289.85/3,527.93
  6. Step 6: Final answer
    x = 2,171.33

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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.