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Finding the Fourth Proportional to 3,478.96, 5,215.86 and 1,287.28

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Solution

The fourth proportional to 3,478.96, 5,215.86 and 1,287.28 is: 1,929.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.96 : 5,215.86 = 1,287.28 : x
  2. Step 2: Convert to fraction form
    3,478.96/5,215.86 = 1,287.28/x
  3. Step 3: Cross multiply
    3,478.96x = 5,215.86 × 1,287.28
  4. Step 4: Simplify right side
    3,478.96x = 6,714,272.26
  5. Step 5: Solve for x
    x = 6,714,272.26/3,478.96
  6. Step 6: Final answer
    x = 1,929.97

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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.