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Finding the Fourth Proportional to 4,088.70, 6,133.96 and 1,491.63

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Solution

The fourth proportional to 4,088.70, 6,133.96 and 1,491.63 is: 2,237.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,088.70 : 6,133.96 = 1,491.63 : x
  2. Step 2: Convert to fraction form
    4,088.70/6,133.96 = 1,491.63/x
  3. Step 3: Cross multiply
    4,088.70x = 6,133.96 × 1,491.63
  4. Step 4: Simplify right side
    4,088.70x = 9,149,591.30
  5. Step 5: Solve for x
    x = 9,149,591.30/4,088.70
  6. Step 6: Final answer
    x = 2,237.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.