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Finding the Fourth Proportional to 3,527.44, 5,290.68 and 930.56

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Solution

The fourth proportional to 3,527.44, 5,290.68 and 930.56 is: 1,395.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.44 : 5,290.68 = 930.56 : x
  2. Step 2: Convert to fraction form
    3,527.44/5,290.68 = 930.56/x
  3. Step 3: Cross multiply
    3,527.44x = 5,290.68 × 930.56
  4. Step 4: Simplify right side
    3,527.44x = 4,923,295.18
  5. Step 5: Solve for x
    x = 4,923,295.18/3,527.44
  6. Step 6: Final answer
    x = 1,395.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.