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Finding the Fourth Proportional to 4,778.24, 7,167.29 and 1,491.30

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Solution

The fourth proportional to 4,778.24, 7,167.29 and 1,491.30 is: 2,236.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.24 : 7,167.29 = 1,491.30 : x
  2. Step 2: Convert to fraction form
    4,778.24/7,167.29 = 1,491.30/x
  3. Step 3: Cross multiply
    4,778.24x = 7,167.29 × 1,491.30
  4. Step 4: Simplify right side
    4,778.24x = 10,688,572.12
  5. Step 5: Solve for x
    x = 10,688,572.12/4,778.24
  6. Step 6: Final answer
    x = 2,236.93

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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.