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Finding the Fourth Proportional to 4,735.07, 7,103.63 and 1,813.38

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Solution

The fourth proportional to 4,735.07, 7,103.63 and 1,813.38 is: 2,720.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.07 : 7,103.63 = 1,813.38 : x
  2. Step 2: Convert to fraction form
    4,735.07/7,103.63 = 1,813.38/x
  3. Step 3: Cross multiply
    4,735.07x = 7,103.63 × 1,813.38
  4. Step 4: Simplify right side
    4,735.07x = 12,881,580.57
  5. Step 5: Solve for x
    x = 12,881,580.57/4,735.07
  6. Step 6: Final answer
    x = 2,720.46

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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.