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Finding the Fourth Proportional to 5,581.58, 7,694.88 and 5,409.05

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Solution

The fourth proportional to 5,581.58, 7,694.88 and 5,409.05 is: 7,457.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.58 : 7,694.88 = 5,409.05 : x
  2. Step 2: Convert to fraction form
    5,581.58/7,694.88 = 5,409.05/x
  3. Step 3: Cross multiply
    5,581.58x = 7,694.88 × 5,409.05
  4. Step 4: Simplify right side
    5,581.58x = 41,621,990.66
  5. Step 5: Solve for x
    x = 41,621,990.66/5,581.58
  6. Step 6: Final answer
    x = 7,457.03

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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.