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Finding the Fourth Proportional to 3,111.57, 4,293.96 and 1,714.32

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Solution

The fourth proportional to 3,111.57, 4,293.96 and 1,714.32 is: 2,365.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.57 : 4,293.96 = 1,714.32 : x
  2. Step 2: Convert to fraction form
    3,111.57/4,293.96 = 1,714.32/x
  3. Step 3: Cross multiply
    3,111.57x = 4,293.96 × 1,714.32
  4. Step 4: Simplify right side
    3,111.57x = 7,361,221.51
  5. Step 5: Solve for x
    x = 7,361,221.51/3,111.57
  6. Step 6: Final answer
    x = 2,365.76

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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.