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Finding the Fourth Proportional to 4,535.69, 6,800.72 and 4,148.96

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Solution

The fourth proportional to 4,535.69, 6,800.72 and 4,148.96 is: 6,220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.69 : 6,800.72 = 4,148.96 : x
  2. Step 2: Convert to fraction form
    4,535.69/6,800.72 = 4,148.96/x
  3. Step 3: Cross multiply
    4,535.69x = 6,800.72 × 4,148.96
  4. Step 4: Simplify right side
    4,535.69x = 28,215,860.50
  5. Step 5: Solve for x
    x = 28,215,860.50/4,535.69
  6. Step 6: Final answer
    x = 6,220.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.