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Finding the Fourth Proportional to 6,054.70, 8,355.42 and 3,402.10

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Solution

The fourth proportional to 6,054.70, 8,355.42 and 3,402.10 is: 4,694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,054.70 : 8,355.42 = 3,402.10 : x
  2. Step 2: Convert to fraction form
    6,054.70/8,355.42 = 3,402.10/x
  3. Step 3: Cross multiply
    6,054.70x = 8,355.42 × 3,402.10
  4. Step 4: Simplify right side
    6,054.70x = 28,425,974.38
  5. Step 5: Solve for x
    x = 28,425,974.38/6,054.70
  6. Step 6: Final answer
    x = 4,694.86

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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.