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Finding the Fourth Proportional to 6,107, 8,427.85 and 3,454.35

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Solution

The fourth proportional to 6,107, 8,427.85 and 3,454.35 is: 4,767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107 : 8,427.85 = 3,454.35 : x
  2. Step 2: Convert to fraction form
    6,107/8,427.85 = 3,454.35/x
  3. Step 3: Cross multiply
    6,107x = 8,427.85 × 3,454.35
  4. Step 4: Simplify right side
    6,107x = 29,112,743.65
  5. Step 5: Solve for x
    x = 29,112,743.65/6,107
  6. Step 6: Final answer
    x = 4,767.11

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