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Finding the Fourth Proportional to 3,138.48, 4,709.07 and 1,495.04

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Solution

The fourth proportional to 3,138.48, 4,709.07 and 1,495.04 is: 2,243.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.48 : 4,709.07 = 1,495.04 : x
  2. Step 2: Convert to fraction form
    3,138.48/4,709.07 = 1,495.04/x
  3. Step 3: Cross multiply
    3,138.48x = 4,709.07 × 1,495.04
  4. Step 4: Simplify right side
    3,138.48x = 7,040,224.47
  5. Step 5: Solve for x
    x = 7,040,224.47/3,138.48
  6. Step 6: Final answer
    x = 2,243.20

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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.