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Finding the Fourth Proportional to 3,993.90, 5,989.50 and 1,527.48

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Solution

The fourth proportional to 3,993.90, 5,989.50 and 1,527.48 is: 2,290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.90 : 5,989.50 = 1,527.48 : x
  2. Step 2: Convert to fraction form
    3,993.90/5,989.50 = 1,527.48/x
  3. Step 3: Cross multiply
    3,993.90x = 5,989.50 × 1,527.48
  4. Step 4: Simplify right side
    3,993.90x = 9,148,841.46
  5. Step 5: Solve for x
    x = 9,148,841.46/3,993.90
  6. Step 6: Final answer
    x = 2,290.70

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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.