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Finding the Fourth Proportional to 5,764.60, 8,643.66 and 3,265.48

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Solution

The fourth proportional to 5,764.60, 8,643.66 and 3,265.48 is: 4,896.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.60 : 8,643.66 = 3,265.48 : x
  2. Step 2: Convert to fraction form
    5,764.60/8,643.66 = 3,265.48/x
  3. Step 3: Cross multiply
    5,764.60x = 8,643.66 × 3,265.48
  4. Step 4: Simplify right side
    5,764.60x = 28,225,698.86
  5. Step 5: Solve for x
    x = 28,225,698.86/5,764.60
  6. Step 6: Final answer
    x = 4,896.38

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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.