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Finding the Fourth Proportional to 5,762.85, 8,629.64 and 3,293.36

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Solution

The fourth proportional to 5,762.85, 8,629.64 and 3,293.36 is: 4,931.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.85 : 8,629.64 = 3,293.36 : x
  2. Step 2: Convert to fraction form
    5,762.85/8,629.64 = 3,293.36/x
  3. Step 3: Cross multiply
    5,762.85x = 8,629.64 × 3,293.36
  4. Step 4: Simplify right side
    5,762.85x = 28,420,496.29
  5. Step 5: Solve for x
    x = 28,420,496.29/5,762.85
  6. Step 6: Final answer
    x = 4,931.68

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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.