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Finding the Fourth Proportional to 4,902.75, 7,363.44 and 4,703.13

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Solution

The fourth proportional to 4,902.75, 7,363.44 and 4,703.13 is: 7,063.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.75 : 7,363.44 = 4,703.13 : x
  2. Step 2: Convert to fraction form
    4,902.75/7,363.44 = 4,703.13/x
  3. Step 3: Cross multiply
    4,902.75x = 7,363.44 × 4,703.13
  4. Step 4: Simplify right side
    4,902.75x = 34,631,215.57
  5. Step 5: Solve for x
    x = 34,631,215.57/4,902.75
  6. Step 6: Final answer
    x = 7,063.63

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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.