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Finding the Fourth Proportional to 6,514.69, 8,980.82 and 4,272.68

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Solution

The fourth proportional to 6,514.69, 8,980.82 and 4,272.68 is: 5,890.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.69 : 8,980.82 = 4,272.68 : x
  2. Step 2: Convert to fraction form
    6,514.69/8,980.82 = 4,272.68/x
  3. Step 3: Cross multiply
    6,514.69x = 8,980.82 × 4,272.68
  4. Step 4: Simplify right side
    6,514.69x = 38,372,170.00
  5. Step 5: Solve for x
    x = 38,372,170.00/6,514.69
  6. Step 6: Final answer
    x = 5,890.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.