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Finding the Fourth Proportional to 4,343.22, 6,514.92 and 1,056.33

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Solution

The fourth proportional to 4,343.22, 6,514.92 and 1,056.33 is: 1,584.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343.22 : 6,514.92 = 1,056.33 : x
  2. Step 2: Convert to fraction form
    4,343.22/6,514.92 = 1,056.33/x
  3. Step 3: Cross multiply
    4,343.22x = 6,514.92 × 1,056.33
  4. Step 4: Simplify right side
    4,343.22x = 6,881,905.44
  5. Step 5: Solve for x
    x = 6,881,905.44/4,343.22
  6. Step 6: Final answer
    x = 1,584.52

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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.