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Finding the Fourth Proportional to 3,527.63, 5,291.46 and 1,447.28

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Solution

The fourth proportional to 3,527.63, 5,291.46 and 1,447.28 is: 2,170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.63 : 5,291.46 = 1,447.28 : x
  2. Step 2: Convert to fraction form
    3,527.63/5,291.46 = 1,447.28/x
  3. Step 3: Cross multiply
    3,527.63x = 5,291.46 × 1,447.28
  4. Step 4: Simplify right side
    3,527.63x = 7,658,237.46
  5. Step 5: Solve for x
    x = 7,658,237.46/3,527.63
  6. Step 6: Final answer
    x = 2,170.93

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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.