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Finding the Fourth Proportional to 5,741.28, 8,610.35 and 1,580.31

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Solution

The fourth proportional to 5,741.28, 8,610.35 and 1,580.31 is: 2,370.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.28 : 8,610.35 = 1,580.31 : x
  2. Step 2: Convert to fraction form
    5,741.28/8,610.35 = 1,580.31/x
  3. Step 3: Cross multiply
    5,741.28x = 8,610.35 × 1,580.31
  4. Step 4: Simplify right side
    5,741.28x = 13,607,014.31
  5. Step 5: Solve for x
    x = 13,607,014.31/5,741.28
  6. Step 6: Final answer
    x = 2,370.03

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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.