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Finding the Fourth Proportional to 3,933.86, 5,900.64 and 972.32

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Solution

The fourth proportional to 3,933.86, 5,900.64 and 972.32 is: 1,458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933.86 : 5,900.64 = 972.32 : x
  2. Step 2: Convert to fraction form
    3,933.86/5,900.64 = 972.32/x
  3. Step 3: Cross multiply
    3,933.86x = 5,900.64 × 972.32
  4. Step 4: Simplify right side
    3,933.86x = 5,737,310.28
  5. Step 5: Solve for x
    x = 5,737,310.28/3,933.86
  6. Step 6: Final answer
    x = 1,458.44

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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.