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Finding the Fourth Proportional to 6,073.49, 8,381.45 and 3,420.95

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Solution

The fourth proportional to 6,073.49, 8,381.45 and 3,420.95 is: 4,720.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,073.49 : 8,381.45 = 3,420.95 : x
  2. Step 2: Convert to fraction form
    6,073.49/8,381.45 = 3,420.95/x
  3. Step 3: Cross multiply
    6,073.49x = 8,381.45 × 3,420.95
  4. Step 4: Simplify right side
    6,073.49x = 28,672,521.38
  5. Step 5: Solve for x
    x = 28,672,521.38/6,073.49
  6. Step 6: Final answer
    x = 4,720.93

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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.