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Finding the Fourth Proportional to 4,684.70, 7,039.20 and 4,150.10

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Solution

The fourth proportional to 4,684.70, 7,039.20 and 4,150.10 is: 6,235.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.70 : 7,039.20 = 4,150.10 : x
  2. Step 2: Convert to fraction form
    4,684.70/7,039.20 = 4,150.10/x
  3. Step 3: Cross multiply
    4,684.70x = 7,039.20 × 4,150.10
  4. Step 4: Simplify right side
    4,684.70x = 29,213,383.92
  5. Step 5: Solve for x
    x = 29,213,383.92/4,684.70
  6. Step 6: Final answer
    x = 6,235.91

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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.