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Finding the Fourth Proportional to 4,735.44, 7,103.16 and 2,137.68

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Solution

The fourth proportional to 4,735.44, 7,103.16 and 2,137.68 is: 3,206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.44 : 7,103.16 = 2,137.68 : x
  2. Step 2: Convert to fraction form
    4,735.44/7,103.16 = 2,137.68/x
  3. Step 3: Cross multiply
    4,735.44x = 7,103.16 × 2,137.68
  4. Step 4: Simplify right side
    4,735.44x = 15,184,283.07
  5. Step 5: Solve for x
    x = 15,184,283.07/4,735.44
  6. Step 6: Final answer
    x = 3,206.52

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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.