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Finding the Fourth Proportional to 6,106.34, 8,426.84 and 3,311.84

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Solution

The fourth proportional to 6,106.34, 8,426.84 and 3,311.84 is: 4,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.34 : 8,426.84 = 3,311.84 : x
  2. Step 2: Convert to fraction form
    6,106.34/8,426.84 = 3,311.84/x
  3. Step 3: Cross multiply
    6,106.34x = 8,426.84 × 3,311.84
  4. Step 4: Simplify right side
    6,106.34x = 27,908,345.79
  5. Step 5: Solve for x
    x = 27,908,345.79/6,106.34
  6. Step 6: Final answer
    x = 4,570.39

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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.