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Finding the Fourth Proportional to 4,735.38, 7,103.28 and 1,813.47

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Solution

The fourth proportional to 4,735.38, 7,103.28 and 1,813.47 is: 2,720.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.38 : 7,103.28 = 1,813.47 : x
  2. Step 2: Convert to fraction form
    4,735.38/7,103.28 = 1,813.47/x
  3. Step 3: Cross multiply
    4,735.38x = 7,103.28 × 1,813.47
  4. Step 4: Simplify right side
    4,735.38x = 12,881,585.18
  5. Step 5: Solve for x
    x = 12,881,585.18/4,735.38
  6. Step 6: Final answer
    x = 2,720.29

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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.