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Finding the Fourth Proportional to 5,764.34, 8,636.79 and 3,810.62

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Solution

The fourth proportional to 5,764.34, 8,636.79 and 3,810.62 is: 5,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.34 : 8,636.79 = 3,810.62 : x
  2. Step 2: Convert to fraction form
    5,764.34/8,636.79 = 3,810.62/x
  3. Step 3: Cross multiply
    5,764.34x = 8,636.79 × 3,810.62
  4. Step 4: Simplify right side
    5,764.34x = 32,911,524.71
  5. Step 5: Solve for x
    x = 32,911,524.71/5,764.34
  6. Step 6: Final answer
    x = 5,709.50

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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.