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Finding the Fourth Proportional to 5,714.25, 7,886.97 and 3,357.15

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Solution

The fourth proportional to 5,714.25, 7,886.97 and 3,357.15 is: 4,633.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.25 : 7,886.97 = 3,357.15 : x
  2. Step 2: Convert to fraction form
    5,714.25/7,886.97 = 3,357.15/x
  3. Step 3: Cross multiply
    5,714.25x = 7,886.97 × 3,357.15
  4. Step 4: Simplify right side
    5,714.25x = 26,477,741.34
  5. Step 5: Solve for x
    x = 26,477,741.34/5,714.25
  6. Step 6: Final answer
    x = 4,633.63

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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.