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Finding the Fourth Proportional to 4,696.44, 7,039.80 and 2,101.20

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Solution

The fourth proportional to 4,696.44, 7,039.80 and 2,101.20 is: 3,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.44 : 7,039.80 = 2,101.20 : x
  2. Step 2: Convert to fraction form
    4,696.44/7,039.80 = 2,101.20/x
  3. Step 3: Cross multiply
    4,696.44x = 7,039.80 × 2,101.20
  4. Step 4: Simplify right side
    4,696.44x = 14,792,027.76
  5. Step 5: Solve for x
    x = 14,792,027.76/4,696.44
  6. Step 6: Final answer
    x = 3,149.63

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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.