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Finding the Fourth Proportional to 3,933.60, 5,900.41 and 972.03

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Solution

The fourth proportional to 3,933.60, 5,900.41 and 972.03 is: 1,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933.60 : 5,900.41 = 972.03 : x
  2. Step 2: Convert to fraction form
    3,933.60/5,900.41 = 972.03/x
  3. Step 3: Cross multiply
    3,933.60x = 5,900.41 × 972.03
  4. Step 4: Simplify right side
    3,933.60x = 5,735,398.87
  5. Step 5: Solve for x
    x = 5,735,398.87/3,933.60
  6. Step 6: Final answer
    x = 1,458.05

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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.