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Finding the Fourth Proportional to 5,993,642.40, 8,990,463.60 and 3,978,103.20

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Solution

The fourth proportional to 5,993,642.40, 8,990,463.60 and 3,978,103.20 is: 5,967,154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993,642.40 : 8,990,463.60 = 3,978,103.20 : x
  2. Step 2: Convert to fraction form
    5,993,642.40/8,990,463.60 = 3,978,103.20/x
  3. Step 3: Cross multiply
    5,993,642.40x = 8,990,463.60 × 3,978,103.20
  4. Step 4: Simplify right side
    5,993,642.40x = 35,764,992,016,643.52
  5. Step 5: Solve for x
    x = 35,764,992,016,643.52/5,993,642.40
  6. Step 6: Final answer
    x = 5,967,154.80

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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.