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Finding the Fourth Proportional to 6,234, 8,603.08 and 3,401.42

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Solution

The fourth proportional to 6,234, 8,603.08 and 3,401.42 is: 4,694.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234 : 8,603.08 = 3,401.42 : x
  2. Step 2: Convert to fraction form
    6,234/8,603.08 = 3,401.42/x
  3. Step 3: Cross multiply
    6,234x = 8,603.08 × 3,401.42
  4. Step 4: Simplify right side
    6,234x = 29,262,688.37
  5. Step 5: Solve for x
    x = 29,262,688.37/6,234
  6. Step 6: Final answer
    x = 4,694.05

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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.