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Finding the Fourth Proportional to 5,491.92, 7,580.88 and 3,720

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Solution

The fourth proportional to 5,491.92, 7,580.88 and 3,720 is: 5,134.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.92 : 7,580.88 = 3,720 : x
  2. Step 2: Convert to fraction form
    5,491.92/7,580.88 = 3,720/x
  3. Step 3: Cross multiply
    5,491.92x = 7,580.88 × 3,720
  4. Step 4: Simplify right side
    5,491.92x = 28,200,873.60
  5. Step 5: Solve for x
    x = 28,200,873.60/5,491.92
  6. Step 6: Final answer
    x = 5,134.98

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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.