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Finding the Fourth Proportional to 4,684.03, 7,027.86 and 1,764.38

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Solution

The fourth proportional to 4,684.03, 7,027.86 and 1,764.38 is: 2,647.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.03 : 7,027.86 = 1,764.38 : x
  2. Step 2: Convert to fraction form
    4,684.03/7,027.86 = 1,764.38/x
  3. Step 3: Cross multiply
    4,684.03x = 7,027.86 × 1,764.38
  4. Step 4: Simplify right side
    4,684.03x = 12,399,839.81
  5. Step 5: Solve for x
    x = 12,399,839.81/4,684.03
  6. Step 6: Final answer
    x = 2,647.26

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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.