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Finding the Fourth Proportional to 5,768.16, 8,659.68 and 4,951.68

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Solution

The fourth proportional to 5,768.16, 8,659.68 and 4,951.68 is: 7,433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.16 : 8,659.68 = 4,951.68 : x
  2. Step 2: Convert to fraction form
    5,768.16/8,659.68 = 4,951.68/x
  3. Step 3: Cross multiply
    5,768.16x = 8,659.68 × 4,951.68
  4. Step 4: Simplify right side
    5,768.16x = 42,879,964.26
  5. Step 5: Solve for x
    x = 42,879,964.26/5,768.16
  6. Step 6: Final answer
    x = 7,433.91

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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.