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Finding the Fourth Proportional to 6,354.19, 8,768.78 and 3,870.19

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Solution

The fourth proportional to 6,354.19, 8,768.78 and 3,870.19 is: 5,340.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.19 : 8,768.78 = 3,870.19 : x
  2. Step 2: Convert to fraction form
    6,354.19/8,768.78 = 3,870.19/x
  3. Step 3: Cross multiply
    6,354.19x = 8,768.78 × 3,870.19
  4. Step 4: Simplify right side
    6,354.19x = 33,936,832.42
  5. Step 5: Solve for x
    x = 33,936,832.42/6,354.19
  6. Step 6: Final answer
    x = 5,340.86

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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.