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Finding the Fourth Proportional to 5,580.92, 7,701.12 and 3,222.68

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Solution

The fourth proportional to 5,580.92, 7,701.12 and 3,222.68 is: 4,446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580.92 : 7,701.12 = 3,222.68 : x
  2. Step 2: Convert to fraction form
    5,580.92/7,701.12 = 3,222.68/x
  3. Step 3: Cross multiply
    5,580.92x = 7,701.12 × 3,222.68
  4. Step 4: Simplify right side
    5,580.92x = 24,818,245.40
  5. Step 5: Solve for x
    x = 24,818,245.40/5,580.92
  6. Step 6: Final answer
    x = 4,446.98

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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.