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Finding the Fourth Proportional to 3,977.50, 5,491.83 and 2,931.10

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Solution

The fourth proportional to 3,977.50, 5,491.83 and 2,931.10 is: 4,047.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.50 : 5,491.83 = 2,931.10 : x
  2. Step 2: Convert to fraction form
    3,977.50/5,491.83 = 2,931.10/x
  3. Step 3: Cross multiply
    3,977.50x = 5,491.83 × 2,931.10
  4. Step 4: Simplify right side
    3,977.50x = 16,097,102.91
  5. Step 5: Solve for x
    x = 16,097,102.91/3,977.50
  6. Step 6: Final answer
    x = 4,047.04

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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.