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Finding the Fourth Proportional to 3,527.67, 5,288.40 and 1,334.80

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Solution

The fourth proportional to 3,527.67, 5,288.40 and 1,334.80 is: 2,001.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.67 : 5,288.40 = 1,334.80 : x
  2. Step 2: Convert to fraction form
    3,527.67/5,288.40 = 1,334.80/x
  3. Step 3: Cross multiply
    3,527.67x = 5,288.40 × 1,334.80
  4. Step 4: Simplify right side
    3,527.67x = 7,058,956.32
  5. Step 5: Solve for x
    x = 7,058,956.32/3,527.67
  6. Step 6: Final answer
    x = 2,001.03

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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.