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Finding the Fourth Proportional to 5,612.31, 7,741.44 and 4,015.80

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Solution

The fourth proportional to 5,612.31, 7,741.44 and 4,015.80 is: 5,539.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.31 : 7,741.44 = 4,015.80 : x
  2. Step 2: Convert to fraction form
    5,612.31/7,741.44 = 4,015.80/x
  3. Step 3: Cross multiply
    5,612.31x = 7,741.44 × 4,015.80
  4. Step 4: Simplify right side
    5,612.31x = 31,088,074.75
  5. Step 5: Solve for x
    x = 31,088,074.75/5,612.31
  6. Step 6: Final answer
    x = 5,539.27

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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.