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Finding the Fourth Proportional to 4,696.75, 7,034.99 and 4,420.72

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Solution

The fourth proportional to 4,696.75, 7,034.99 and 4,420.72 is: 6,621.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.75 : 7,034.99 = 4,420.72 : x
  2. Step 2: Convert to fraction form
    4,696.75/7,034.99 = 4,420.72/x
  3. Step 3: Cross multiply
    4,696.75x = 7,034.99 × 4,420.72
  4. Step 4: Simplify right side
    4,696.75x = 31,099,707.68
  5. Step 5: Solve for x
    x = 31,099,707.68/4,696.75
  6. Step 6: Final answer
    x = 6,621.54

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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.