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Finding the Fourth Proportional to 5,833.17, 8,051.51 and 4,159.44

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Solution

The fourth proportional to 5,833.17, 8,051.51 and 4,159.44 is: 5,741.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.17 : 8,051.51 = 4,159.44 : x
  2. Step 2: Convert to fraction form
    5,833.17/8,051.51 = 4,159.44/x
  3. Step 3: Cross multiply
    5,833.17x = 8,051.51 × 4,159.44
  4. Step 4: Simplify right side
    5,833.17x = 33,489,783.15
  5. Step 5: Solve for x
    x = 33,489,783.15/5,833.17
  6. Step 6: Final answer
    x = 5,741.27

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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.