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Finding the Fourth Proportional to 5,990.04, 8,262.12 and 5,494.32

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Solution

The fourth proportional to 5,990.04, 8,262.12 and 5,494.32 is: 7,578.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,990.04 : 8,262.12 = 5,494.32 : x
  2. Step 2: Convert to fraction form
    5,990.04/8,262.12 = 5,494.32/x
  3. Step 3: Cross multiply
    5,990.04x = 8,262.12 × 5,494.32
  4. Step 4: Simplify right side
    5,990.04x = 45,394,731.16
  5. Step 5: Solve for x
    x = 45,394,731.16/5,990.04
  6. Step 6: Final answer
    x = 7,578.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.