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Finding the Fourth Proportional to 6,124.50, 8,451.84 and 3,330

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Solution

The fourth proportional to 6,124.50, 8,451.84 and 3,330 is: 4,595.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124.50 : 8,451.84 = 3,330 : x
  2. Step 2: Convert to fraction form
    6,124.50/8,451.84 = 3,330/x
  3. Step 3: Cross multiply
    6,124.50x = 8,451.84 × 3,330
  4. Step 4: Simplify right side
    6,124.50x = 28,144,627.20
  5. Step 5: Solve for x
    x = 28,144,627.20/6,124.50
  6. Step 6: Final answer
    x = 4,595.42

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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.