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Finding the Fourth Proportional to 3,527.56, 5,292.48 and 1,188.70

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Solution

The fourth proportional to 3,527.56, 5,292.48 and 1,188.70 is: 1,783.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.56 : 5,292.48 = 1,188.70 : x
  2. Step 2: Convert to fraction form
    3,527.56/5,292.48 = 1,188.70/x
  3. Step 3: Cross multiply
    3,527.56x = 5,292.48 × 1,188.70
  4. Step 4: Simplify right side
    3,527.56x = 6,291,170.98
  5. Step 5: Solve for x
    x = 6,291,170.98/3,527.56
  6. Step 6: Final answer
    x = 1,783.43

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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.