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Finding the Fourth Proportional to 5,431.60, 7,493.86 and 3,041.22

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Solution

The fourth proportional to 5,431.60, 7,493.86 and 3,041.22 is: 4,195.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431.60 : 7,493.86 = 3,041.22 : x
  2. Step 2: Convert to fraction form
    5,431.60/7,493.86 = 3,041.22/x
  3. Step 3: Cross multiply
    5,431.60x = 7,493.86 × 3,041.22
  4. Step 4: Simplify right side
    5,431.60x = 22,790,424.23
  5. Step 5: Solve for x
    x = 22,790,424.23/5,431.60
  6. Step 6: Final answer
    x = 4,195.90

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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.