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Finding the Fourth Proportional to 5,581.11, 7,701.57 and 3,191.34

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Solution

The fourth proportional to 5,581.11, 7,701.57 and 3,191.34 is: 4,403.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.11 : 7,701.57 = 3,191.34 : x
  2. Step 2: Convert to fraction form
    5,581.11/7,701.57 = 3,191.34/x
  3. Step 3: Cross multiply
    5,581.11x = 7,701.57 × 3,191.34
  4. Step 4: Simplify right side
    5,581.11x = 24,578,328.40
  5. Step 5: Solve for x
    x = 24,578,328.40/5,581.11
  6. Step 6: Final answer
    x = 4,403.84

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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.