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Finding the Fourth Proportional to 5,764.48, 8,637.76 and 4,609.92

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Solution

The fourth proportional to 5,764.48, 8,637.76 and 4,609.92 is: 6,907.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.48 : 8,637.76 = 4,609.92 : x
  2. Step 2: Convert to fraction form
    5,764.48/8,637.76 = 4,609.92/x
  3. Step 3: Cross multiply
    5,764.48x = 8,637.76 × 4,609.92
  4. Step 4: Simplify right side
    5,764.48x = 39,819,382.58
  5. Step 5: Solve for x
    x = 39,819,382.58/5,764.48
  6. Step 6: Final answer
    x = 6,907.71

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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.