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Finding the Fourth Proportional to 4,009.41, 5,978.77 and 3,732.39

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Solution

The fourth proportional to 4,009.41, 5,978.77 and 3,732.39 is: 5,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009.41 : 5,978.77 = 3,732.39 : x
  2. Step 2: Convert to fraction form
    4,009.41/5,978.77 = 3,732.39/x
  3. Step 3: Cross multiply
    4,009.41x = 5,978.77 × 3,732.39
  4. Step 4: Simplify right side
    4,009.41x = 22,315,092.03
  5. Step 5: Solve for x
    x = 22,315,092.03/4,009.41
  6. Step 6: Final answer
    x = 5,565.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.