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Finding the Fourth Proportional to 4,735.13, 7,106.54 and 4,046.22

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Solution

The fourth proportional to 4,735.13, 7,106.54 and 4,046.22 is: 6,072.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.13 : 7,106.54 = 4,046.22 : x
  2. Step 2: Convert to fraction form
    4,735.13/7,106.54 = 4,046.22/x
  3. Step 3: Cross multiply
    4,735.13x = 7,106.54 × 4,046.22
  4. Step 4: Simplify right side
    4,735.13x = 28,754,604.05
  5. Step 5: Solve for x
    x = 28,754,604.05/4,735.13
  6. Step 6: Final answer
    x = 6,072.62

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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.