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Finding the Fourth Proportional to 6,089.98, 8,401.72 and 3,699.06

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Solution

The fourth proportional to 6,089.98, 8,401.72 and 3,699.06 is: 5,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.98 : 8,401.72 = 3,699.06 : x
  2. Step 2: Convert to fraction form
    6,089.98/8,401.72 = 3,699.06/x
  3. Step 3: Cross multiply
    6,089.98x = 8,401.72 × 3,699.06
  4. Step 4: Simplify right side
    6,089.98x = 31,078,466.38
  5. Step 5: Solve for x
    x = 31,078,466.38/6,089.98
  6. Step 6: Final answer
    x = 5,103.21

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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.