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Finding the Fourth Proportional to 4,287.72, 6,430.80 and 1,516.44

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Solution

The fourth proportional to 4,287.72, 6,430.80 and 1,516.44 is: 2,274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.72 : 6,430.80 = 1,516.44 : x
  2. Step 2: Convert to fraction form
    4,287.72/6,430.80 = 1,516.44/x
  3. Step 3: Cross multiply
    4,287.72x = 6,430.80 × 1,516.44
  4. Step 4: Simplify right side
    4,287.72x = 9,751,922.35
  5. Step 5: Solve for x
    x = 9,751,922.35/4,287.72
  6. Step 6: Final answer
    x = 2,274.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.