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Finding the Fourth Proportional to 4,740.90, 7,105.58 and 3,354.64

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Solution

The fourth proportional to 4,740.90, 7,105.58 and 3,354.64 is: 5,027.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,740.90 : 7,105.58 = 3,354.64 : x
  2. Step 2: Convert to fraction form
    4,740.90/7,105.58 = 3,354.64/x
  3. Step 3: Cross multiply
    4,740.90x = 7,105.58 × 3,354.64
  4. Step 4: Simplify right side
    4,740.90x = 23,836,627.36
  5. Step 5: Solve for x
    x = 23,836,627.36/4,740.90
  6. Step 6: Final answer
    x = 5,027.87

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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.