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Finding the Fourth Proportional to 5,829.14, 8,734.88 and 4,735.64

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Solution

The fourth proportional to 5,829.14, 8,734.88 and 4,735.64 is: 7,096.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.14 : 8,734.88 = 4,735.64 : x
  2. Step 2: Convert to fraction form
    5,829.14/8,734.88 = 4,735.64/x
  3. Step 3: Cross multiply
    5,829.14x = 8,734.88 × 4,735.64
  4. Step 4: Simplify right side
    5,829.14x = 41,365,247.12
  5. Step 5: Solve for x
    x = 41,365,247.12/5,829.14
  6. Step 6: Final answer
    x = 7,096.29

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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.